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Finding the Fourth Proportional to 577.20, 864.45 and 565.60

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Solution

The fourth proportional to 577.20, 864.45 and 565.60 is: 847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 864.45 = 565.60 : x
  2. Step 2: Convert to fraction form
    577.20/864.45 = 565.60/x
  3. Step 3: Cross multiply
    577.20x = 864.45 × 565.60
  4. Step 4: Simplify right side
    577.20x = 488,932.92
  5. Step 5: Solve for x
    x = 488,932.92/577.20
  6. Step 6: Final answer
    x = 847.08

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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.