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Finding the Fourth Proportional to 417.43, 575.80 and 319.15

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Solution

The fourth proportional to 417.43, 575.80 and 319.15 is: 440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.43 : 575.80 = 319.15 : x
  2. Step 2: Convert to fraction form
    417.43/575.80 = 319.15/x
  3. Step 3: Cross multiply
    417.43x = 575.80 × 319.15
  4. Step 4: Simplify right side
    417.43x = 183,766.57
  5. Step 5: Solve for x
    x = 183,766.57/417.43
  6. Step 6: Final answer
    x = 440.23

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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.