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Finding the Fourth Proportional to 417.42, 625.67 and 280.13

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Solution

The fourth proportional to 417.42, 625.67 and 280.13 is: 419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 625.67 = 280.13 : x
  2. Step 2: Convert to fraction form
    417.42/625.67 = 280.13/x
  3. Step 3: Cross multiply
    417.42x = 625.67 × 280.13
  4. Step 4: Simplify right side
    417.42x = 175,267.03
  5. Step 5: Solve for x
    x = 175,267.03/417.42
  6. Step 6: Final answer
    x = 419.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.