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Finding the Fourth Proportional to 582.54, 875.03 and 491.42

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Solution

The fourth proportional to 582.54, 875.03 and 491.42 is: 738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.54 : 875.03 = 491.42 : x
  2. Step 2: Convert to fraction form
    582.54/875.03 = 491.42/x
  3. Step 3: Cross multiply
    582.54x = 875.03 × 491.42
  4. Step 4: Simplify right side
    582.54x = 430,000.41
  5. Step 5: Solve for x
    x = 430,000.41/582.54
  6. Step 6: Final answer
    x = 738.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.