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Finding the Fourth Proportional to 510.44, 765.65 and 145.25

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Solution

The fourth proportional to 510.44, 765.65 and 145.25 is: 217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 765.65 = 145.25 : x
  2. Step 2: Convert to fraction form
    510.44/765.65 = 145.25/x
  3. Step 3: Cross multiply
    510.44x = 765.65 × 145.25
  4. Step 4: Simplify right side
    510.44x = 111,210.66
  5. Step 5: Solve for x
    x = 111,210.66/510.44
  6. Step 6: Final answer
    x = 217.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.