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Finding the Fourth Proportional to 582.08, 872.28 and 437.90

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Solution

The fourth proportional to 582.08, 872.28 and 437.90 is: 656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 872.28 = 437.90 : x
  2. Step 2: Convert to fraction form
    582.08/872.28 = 437.90/x
  3. Step 3: Cross multiply
    582.08x = 872.28 × 437.90
  4. Step 4: Simplify right side
    582.08x = 381,967.05
  5. Step 5: Solve for x
    x = 381,967.05/582.08
  6. Step 6: Final answer
    x = 656.22

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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.