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Finding the Fourth Proportional to 417.76, 575.92 and 314.08

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Solution

The fourth proportional to 417.76, 575.92 and 314.08 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 575.92 = 314.08 : x
  2. Step 2: Convert to fraction form
    417.76/575.92 = 314.08/x
  3. Step 3: Cross multiply
    417.76x = 575.92 × 314.08
  4. Step 4: Simplify right side
    417.76x = 180,884.95
  5. Step 5: Solve for x
    x = 180,884.95/417.76
  6. Step 6: Final answer
    x = 432.99

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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.