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Finding the Fourth Proportional to 564.56, 842.68 and 524.52

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Solution

The fourth proportional to 564.56, 842.68 and 524.52 is: 782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 842.68 = 524.52 : x
  2. Step 2: Convert to fraction form
    564.56/842.68 = 524.52/x
  3. Step 3: Cross multiply
    564.56x = 842.68 × 524.52
  4. Step 4: Simplify right side
    564.56x = 442,002.51
  5. Step 5: Solve for x
    x = 442,002.51/564.56
  6. Step 6: Final answer
    x = 782.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.