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Finding the Fourth Proportional to 565.69, 778.91 and 542.34

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Solution

The fourth proportional to 565.69, 778.91 and 542.34 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 778.91 = 542.34 : x
  2. Step 2: Convert to fraction form
    565.69/778.91 = 542.34/x
  3. Step 3: Cross multiply
    565.69x = 778.91 × 542.34
  4. Step 4: Simplify right side
    565.69x = 422,434.09
  5. Step 5: Solve for x
    x = 422,434.09/565.69
  6. Step 6: Final answer
    x = 746.75

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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.