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Finding the Fourth Proportional to 624.66, 932.52 and 542.67

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Solution

The fourth proportional to 624.66, 932.52 and 542.67 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.66 : 932.52 = 542.67 : x
  2. Step 2: Convert to fraction form
    624.66/932.52 = 542.67/x
  3. Step 3: Cross multiply
    624.66x = 932.52 × 542.67
  4. Step 4: Simplify right side
    624.66x = 506,050.63
  5. Step 5: Solve for x
    x = 506,050.63/624.66
  6. Step 6: Final answer
    x = 810.12

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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.