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Finding the Fourth Proportional to 631.50, 946.44 and 467.88

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Solution

The fourth proportional to 631.50, 946.44 and 467.88 is: 701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.50 : 946.44 = 467.88 : x
  2. Step 2: Convert to fraction form
    631.50/946.44 = 467.88/x
  3. Step 3: Cross multiply
    631.50x = 946.44 × 467.88
  4. Step 4: Simplify right side
    631.50x = 442,820.35
  5. Step 5: Solve for x
    x = 442,820.35/631.50
  6. Step 6: Final answer
    x = 701.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.