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Finding the Fourth Proportional to 561.74, 775.17 and 414.32

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Solution

The fourth proportional to 561.74, 775.17 and 414.32 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 775.17 = 414.32 : x
  2. Step 2: Convert to fraction form
    561.74/775.17 = 414.32/x
  3. Step 3: Cross multiply
    561.74x = 775.17 × 414.32
  4. Step 4: Simplify right side
    561.74x = 321,164.56
  5. Step 5: Solve for x
    x = 321,164.56/561.74
  6. Step 6: Final answer
    x = 571.74

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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.