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Finding the Fourth Proportional to 457.23, 631.05 and 442.02

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Solution

The fourth proportional to 457.23, 631.05 and 442.02 is: 610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 631.05 = 442.02 : x
  2. Step 2: Convert to fraction form
    457.23/631.05 = 442.02/x
  3. Step 3: Cross multiply
    457.23x = 631.05 × 442.02
  4. Step 4: Simplify right side
    457.23x = 278,936.72
  5. Step 5: Solve for x
    x = 278,936.72/457.23
  6. Step 6: Final answer
    x = 610.06

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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.