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Finding the Fourth Proportional to 510.42, 765.70 and 202.25

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Solution

The fourth proportional to 510.42, 765.70 and 202.25 is: 303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 765.70 = 202.25 : x
  2. Step 2: Convert to fraction form
    510.42/765.70 = 202.25/x
  3. Step 3: Cross multiply
    510.42x = 765.70 × 202.25
  4. Step 4: Simplify right side
    510.42x = 154,857.99
  5. Step 5: Solve for x
    x = 154,857.99/510.42
  6. Step 6: Final answer
    x = 303.39

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Double scale
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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.