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Finding the Fourth Proportional to 417.69, 576.71 and 313.01

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Solution

The fourth proportional to 417.69, 576.71 and 313.01 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 576.71 = 313.01 : x
  2. Step 2: Convert to fraction form
    417.69/576.71 = 313.01/x
  3. Step 3: Cross multiply
    417.69x = 576.71 × 313.01
  4. Step 4: Simplify right side
    417.69x = 180,517.69
  5. Step 5: Solve for x
    x = 180,517.69/417.69
  6. Step 6: Final answer
    x = 432.18

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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.