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Finding the Fourth Proportional to 565.88, 847.61 and 421.30

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Solution

The fourth proportional to 565.88, 847.61 and 421.30 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 847.61 = 421.30 : x
  2. Step 2: Convert to fraction form
    565.88/847.61 = 421.30/x
  3. Step 3: Cross multiply
    565.88x = 847.61 × 421.30
  4. Step 4: Simplify right side
    565.88x = 357,091.75
  5. Step 5: Solve for x
    x = 357,091.75/565.88
  6. Step 6: Final answer
    x = 631.04

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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.