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Finding the Fourth Proportional to 631.50, 871.46 and 508.02

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Solution

The fourth proportional to 631.50, 871.46 and 508.02 is: 701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 871.46 = 508.02 : x
  2. Step 2: Convert to fraction form
    631.50/871.46 = 508.02/x
  3. Step 3: Cross multiply
    631.50x = 871.46 × 508.02
  4. Step 4: Simplify right side
    631.50x = 442,720.11
  5. Step 5: Solve for x
    x = 442,720.11/631.50
  6. Step 6: Final answer
    x = 701.07

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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.