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Finding the Fourth Proportional to 564.52, 779.07 and 525.64

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Solution

The fourth proportional to 564.52, 779.07 and 525.64 is: 725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 779.07 = 525.64 : x
  2. Step 2: Convert to fraction form
    564.52/779.07 = 525.64/x
  3. Step 3: Cross multiply
    564.52x = 779.07 × 525.64
  4. Step 4: Simplify right side
    564.52x = 409,510.35
  5. Step 5: Solve for x
    x = 409,510.35/564.52
  6. Step 6: Final answer
    x = 725.41

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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.