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Finding the Fourth Proportional to 417.21, 625.33 and 314.16

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Solution

The fourth proportional to 417.21, 625.33 and 314.16 is: 470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 625.33 = 314.16 : x
  2. Step 2: Convert to fraction form
    417.21/625.33 = 314.16/x
  3. Step 3: Cross multiply
    417.21x = 625.33 × 314.16
  4. Step 4: Simplify right side
    417.21x = 196,454.45
  5. Step 5: Solve for x
    x = 196,454.45/417.21
  6. Step 6: Final answer
    x = 470.88

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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.