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Finding the Fourth Proportional to 566.16, 775.44 and 532.95

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Solution

The fourth proportional to 566.16, 775.44 and 532.95 is: 729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 775.44 = 532.95 : x
  2. Step 2: Convert to fraction form
    566.16/775.44 = 532.95/x
  3. Step 3: Cross multiply
    566.16x = 775.44 × 532.95
  4. Step 4: Simplify right side
    566.16x = 413,270.75
  5. Step 5: Solve for x
    x = 413,270.75/566.16
  6. Step 6: Final answer
    x = 729.95

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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.