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Finding the Fourth Proportional to 565.28, 775.02 and 564.37

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Solution

The fourth proportional to 565.28, 775.02 and 564.37 is: 773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 775.02 = 564.37 : x
  2. Step 2: Convert to fraction form
    565.28/775.02 = 564.37/x
  3. Step 3: Cross multiply
    565.28x = 775.02 × 564.37
  4. Step 4: Simplify right side
    565.28x = 437,395.04
  5. Step 5: Solve for x
    x = 437,395.04/565.28
  6. Step 6: Final answer
    x = 773.77

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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.