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Finding the Fourth Proportional to 417.64, 576.42 and 314.92

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Solution

The fourth proportional to 417.64, 576.42 and 314.92 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.64 : 576.42 = 314.92 : x
  2. Step 2: Convert to fraction form
    417.64/576.42 = 314.92/x
  3. Step 3: Cross multiply
    417.64x = 576.42 × 314.92
  4. Step 4: Simplify right side
    417.64x = 181,526.19
  5. Step 5: Solve for x
    x = 181,526.19/417.64
  6. Step 6: Final answer
    x = 434.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.