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Finding the Fourth Proportional to 565.66, 774.76 and 532.45

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Solution

The fourth proportional to 565.66, 774.76 and 532.45 is: 729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 774.76 = 532.45 : x
  2. Step 2: Convert to fraction form
    565.66/774.76 = 532.45/x
  3. Step 3: Cross multiply
    565.66x = 774.76 × 532.45
  4. Step 4: Simplify right side
    565.66x = 412,520.96
  5. Step 5: Solve for x
    x = 412,520.96/565.66
  6. Step 6: Final answer
    x = 729.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.