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Finding the Fourth Proportional to 565.20, 780.18 and 405.88

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Solution

The fourth proportional to 565.20, 780.18 and 405.88 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.20 : 780.18 = 405.88 : x
  2. Step 2: Convert to fraction form
    565.20/780.18 = 405.88/x
  3. Step 3: Cross multiply
    565.20x = 780.18 × 405.88
  4. Step 4: Simplify right side
    565.20x = 316,659.46
  5. Step 5: Solve for x
    x = 316,659.46/565.20
  6. Step 6: Final answer
    x = 560.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.