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Finding the Fourth Proportional to 584.89, 875.54 and 492.97

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Solution

The fourth proportional to 584.89, 875.54 and 492.97 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.89 : 875.54 = 492.97 : x
  2. Step 2: Convert to fraction form
    584.89/875.54 = 492.97/x
  3. Step 3: Cross multiply
    584.89x = 875.54 × 492.97
  4. Step 4: Simplify right side
    584.89x = 431,612.49
  5. Step 5: Solve for x
    x = 431,612.49/584.89
  6. Step 6: Final answer
    x = 737.94

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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.