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Finding the Fourth Proportional to 565.20, 847.80 and 437.04

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Solution

The fourth proportional to 565.20, 847.80 and 437.04 is: 655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 847.80 = 437.04 : x
  2. Step 2: Convert to fraction form
    565.20/847.80 = 437.04/x
  3. Step 3: Cross multiply
    565.20x = 847.80 × 437.04
  4. Step 4: Simplify right side
    565.20x = 370,522.51
  5. Step 5: Solve for x
    x = 370,522.51/565.20
  6. Step 6: Final answer
    x = 655.56

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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.