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Finding the Fourth Proportional to 564.48, 778.68 and 407.66

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Solution

The fourth proportional to 564.48, 778.68 and 407.66 is: 562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 778.68 = 407.66 : x
  2. Step 2: Convert to fraction form
    564.48/778.68 = 407.66/x
  3. Step 3: Cross multiply
    564.48x = 778.68 × 407.66
  4. Step 4: Simplify right side
    564.48x = 317,432.80
  5. Step 5: Solve for x
    x = 317,432.80/564.48
  6. Step 6: Final answer
    x = 562.35

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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.