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Finding the Fourth Proportional to 510.90, 705.47 and 324.72

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Solution

The fourth proportional to 510.90, 705.47 and 324.72 is: 448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 705.47 = 324.72 : x
  2. Step 2: Convert to fraction form
    510.90/705.47 = 324.72/x
  3. Step 3: Cross multiply
    510.90x = 705.47 × 324.72
  4. Step 4: Simplify right side
    510.90x = 229,080.22
  5. Step 5: Solve for x
    x = 229,080.22/510.90
  6. Step 6: Final answer
    x = 448.39

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.