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Finding the Fourth Proportional to 631.76, 872.34 and 533.84

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Solution

The fourth proportional to 631.76, 872.34 and 533.84 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 872.34 = 533.84 : x
  2. Step 2: Convert to fraction form
    631.76/872.34 = 533.84/x
  3. Step 3: Cross multiply
    631.76x = 872.34 × 533.84
  4. Step 4: Simplify right side
    631.76x = 465,689.99
  5. Step 5: Solve for x
    x = 465,689.99/631.76
  6. Step 6: Final answer
    x = 737.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.