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Finding the Fourth Proportional to 631.72, 945.34 and 469

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Solution

The fourth proportional to 631.72, 945.34 and 469 is: 701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.72 : 945.34 = 469 : x
  2. Step 2: Convert to fraction form
    631.72/945.34 = 469/x
  3. Step 3: Cross multiply
    631.72x = 945.34 × 469
  4. Step 4: Simplify right side
    631.72x = 443,364.46
  5. Step 5: Solve for x
    x = 443,364.46/631.72
  6. Step 6: Final answer
    x = 701.84

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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.