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Finding the Fourth Proportional to 457.74, 631.75 and 360.23

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Solution

The fourth proportional to 457.74, 631.75 and 360.23 is: 497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 631.75 = 360.23 : x
  2. Step 2: Convert to fraction form
    457.74/631.75 = 360.23/x
  3. Step 3: Cross multiply
    457.74x = 631.75 × 360.23
  4. Step 4: Simplify right side
    457.74x = 227,575.30
  5. Step 5: Solve for x
    x = 227,575.30/457.74
  6. Step 6: Final answer
    x = 497.17

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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.