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Finding the Fourth Proportional to 631.23, 870.38 and 444.66

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Solution

The fourth proportional to 631.23, 870.38 and 444.66 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 870.38 = 444.66 : x
  2. Step 2: Convert to fraction form
    631.23/870.38 = 444.66/x
  3. Step 3: Cross multiply
    631.23x = 870.38 × 444.66
  4. Step 4: Simplify right side
    631.23x = 387,023.17
  5. Step 5: Solve for x
    x = 387,023.17/631.23
  6. Step 6: Final answer
    x = 613.13

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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.