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Finding the Fourth Proportional to 582.52, 875.06 and 354.68

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Solution

The fourth proportional to 582.52, 875.06 and 354.68 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 875.06 = 354.68 : x
  2. Step 2: Convert to fraction form
    582.52/875.06 = 354.68/x
  3. Step 3: Cross multiply
    582.52x = 875.06 × 354.68
  4. Step 4: Simplify right side
    582.52x = 310,366.28
  5. Step 5: Solve for x
    x = 310,366.28/582.52
  6. Step 6: Final answer
    x = 532.80

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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.