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Finding the Fourth Proportional to 631.17, 946.80 and 414.30

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Solution

The fourth proportional to 631.17, 946.80 and 414.30 is: 621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.17 : 946.80 = 414.30 : x
  2. Step 2: Convert to fraction form
    631.17/946.80 = 414.30/x
  3. Step 3: Cross multiply
    631.17x = 946.80 × 414.30
  4. Step 4: Simplify right side
    631.17x = 392,259.24
  5. Step 5: Solve for x
    x = 392,259.24/631.17
  6. Step 6: Final answer
    x = 621.48

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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.