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Finding the Fourth Proportional to 546.92, 816.30 and 503.52

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Solution

The fourth proportional to 546.92, 816.30 and 503.52 is: 751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 816.30 = 503.52 : x
  2. Step 2: Convert to fraction form
    546.92/816.30 = 503.52/x
  3. Step 3: Cross multiply
    546.92x = 816.30 × 503.52
  4. Step 4: Simplify right side
    546.92x = 411,023.38
  5. Step 5: Solve for x
    x = 411,023.38/546.92
  6. Step 6: Final answer
    x = 751.52

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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.