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Finding the Fourth Proportional to 458.13, 631.74 and 346.36

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Solution

The fourth proportional to 458.13, 631.74 and 346.36 is: 477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.13 : 631.74 = 346.36 : x
  2. Step 2: Convert to fraction form
    458.13/631.74 = 346.36/x
  3. Step 3: Cross multiply
    458.13x = 631.74 × 346.36
  4. Step 4: Simplify right side
    458.13x = 218,805.44
  5. Step 5: Solve for x
    x = 218,805.44/458.13
  6. Step 6: Final answer
    x = 477.61

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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.