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Finding the Fourth Proportional to 631.24, 945.02 and 469.64

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Solution

The fourth proportional to 631.24, 945.02 and 469.64 is: 703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.24 : 945.02 = 469.64 : x
  2. Step 2: Convert to fraction form
    631.24/945.02 = 469.64/x
  3. Step 3: Cross multiply
    631.24x = 945.02 × 469.64
  4. Step 4: Simplify right side
    631.24x = 443,822.73
  5. Step 5: Solve for x
    x = 443,822.73/631.24
  6. Step 6: Final answer
    x = 703.10

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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.