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Finding the Fourth Proportional to 565.47, 779.85 and 408.06

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Solution

The fourth proportional to 565.47, 779.85 and 408.06 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.47 : 779.85 = 408.06 : x
  2. Step 2: Convert to fraction form
    565.47/779.85 = 408.06/x
  3. Step 3: Cross multiply
    565.47x = 779.85 × 408.06
  4. Step 4: Simplify right side
    565.47x = 318,225.59
  5. Step 5: Solve for x
    x = 318,225.59/565.47
  6. Step 6: Final answer
    x = 562.76

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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.