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Finding the Fourth Proportional to 565.08, 847.14 and 291.54

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Solution

The fourth proportional to 565.08, 847.14 and 291.54 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 847.14 = 291.54 : x
  2. Step 2: Convert to fraction form
    565.08/847.14 = 291.54/x
  3. Step 3: Cross multiply
    565.08x = 847.14 × 291.54
  4. Step 4: Simplify right side
    565.08x = 246,975.20
  5. Step 5: Solve for x
    x = 246,975.20/565.08
  6. Step 6: Final answer
    x = 437.06

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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.