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Finding the Fourth Proportional to 632.56, 872.20 and 507.84

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Solution

The fourth proportional to 632.56, 872.20 and 507.84 is: 700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.56 : 872.20 = 507.84 : x
  2. Step 2: Convert to fraction form
    632.56/872.20 = 507.84/x
  3. Step 3: Cross multiply
    632.56x = 872.20 × 507.84
  4. Step 4: Simplify right side
    632.56x = 442,938.05
  5. Step 5: Solve for x
    x = 442,938.05/632.56
  6. Step 6: Final answer
    x = 700.23

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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.