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Finding the Fourth Proportional to 508.47, 700.14 and 461.54

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Solution

The fourth proportional to 508.47, 700.14 and 461.54 is: 635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 700.14 = 461.54 : x
  2. Step 2: Convert to fraction form
    508.47/700.14 = 461.54/x
  3. Step 3: Cross multiply
    508.47x = 700.14 × 461.54
  4. Step 4: Simplify right side
    508.47x = 323,146.10
  5. Step 5: Solve for x
    x = 323,146.10/508.47
  6. Step 6: Final answer
    x = 635.53

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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.