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Finding the Fourth Proportional to 487.61, 672.06 and 417.14

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Solution

The fourth proportional to 487.61, 672.06 and 417.14 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.61 : 672.06 = 417.14 : x
  2. Step 2: Convert to fraction form
    487.61/672.06 = 417.14/x
  3. Step 3: Cross multiply
    487.61x = 672.06 × 417.14
  4. Step 4: Simplify right side
    487.61x = 280,343.11
  5. Step 5: Solve for x
    x = 280,343.11/487.61
  6. Step 6: Final answer
    x = 574.93

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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.