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Finding the Fourth Proportional to 458.17, 630.97 and 417.16

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Solution

The fourth proportional to 458.17, 630.97 and 417.16 is: 574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.17 : 630.97 = 417.16 : x
  2. Step 2: Convert to fraction form
    458.17/630.97 = 417.16/x
  3. Step 3: Cross multiply
    458.17x = 630.97 × 417.16
  4. Step 4: Simplify right side
    458.17x = 263,215.45
  5. Step 5: Solve for x
    x = 263,215.45/458.17
  6. Step 6: Final answer
    x = 574.49

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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.