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Finding the Fourth Proportional to 564.77, 780.28 and 534.02

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Solution

The fourth proportional to 564.77, 780.28 and 534.02 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.77 : 780.28 = 534.02 : x
  2. Step 2: Convert to fraction form
    564.77/780.28 = 534.02/x
  3. Step 3: Cross multiply
    564.77x = 780.28 × 534.02
  4. Step 4: Simplify right side
    564.77x = 416,679.89
  5. Step 5: Solve for x
    x = 416,679.89/564.77
  6. Step 6: Final answer
    x = 737.78

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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.