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Finding the Fourth Proportional to 565.50, 847.56 and 291.72

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Solution

The fourth proportional to 565.50, 847.56 and 291.72 is: 437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.50 : 847.56 = 291.72 : x
  2. Step 2: Convert to fraction form
    565.50/847.56 = 291.72/x
  3. Step 3: Cross multiply
    565.50x = 847.56 × 291.72
  4. Step 4: Simplify right side
    565.50x = 247,250.20
  5. Step 5: Solve for x
    x = 247,250.20/565.50
  6. Step 6: Final answer
    x = 437.22

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Why These Related Problems?

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