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Finding the Fourth Proportional to 624.56, 932.94 and 462.56

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Solution

The fourth proportional to 624.56, 932.94 and 462.56 is: 690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 932.94 = 462.56 : x
  2. Step 2: Convert to fraction form
    624.56/932.94 = 462.56/x
  3. Step 3: Cross multiply
    624.56x = 932.94 × 462.56
  4. Step 4: Simplify right side
    624.56x = 431,536.06
  5. Step 5: Solve for x
    x = 431,536.06/624.56
  6. Step 6: Final answer
    x = 690.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.