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Finding the Fourth Proportional to 624.47, 935.15 and 459.55

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Solution

The fourth proportional to 624.47, 935.15 and 459.55 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.47 : 935.15 = 459.55 : x
  2. Step 2: Convert to fraction form
    624.47/935.15 = 459.55/x
  3. Step 3: Cross multiply
    624.47x = 935.15 × 459.55
  4. Step 4: Simplify right side
    624.47x = 429,746.99
  5. Step 5: Solve for x
    x = 429,746.99/624.47
  6. Step 6: Final answer
    x = 688.18

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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.