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Finding the Fourth Proportional to 412.74, 565.25 and 407.34

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Solution

The fourth proportional to 412.74, 565.25 and 407.34 is: 557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.74 : 565.25 = 407.34 : x
  2. Step 2: Convert to fraction form
    412.74/565.25 = 407.34/x
  3. Step 3: Cross multiply
    412.74x = 565.25 × 407.34
  4. Step 4: Simplify right side
    412.74x = 230,246.90
  5. Step 5: Solve for x
    x = 230,246.90/412.74
  6. Step 6: Final answer
    x = 557.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.