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Finding the Fourth Proportional to 652.68, 900.66 and 372.96

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Solution

The fourth proportional to 652.68, 900.66 and 372.96 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 900.66 = 372.96 : x
  2. Step 2: Convert to fraction form
    652.68/900.66 = 372.96/x
  3. Step 3: Cross multiply
    652.68x = 900.66 × 372.96
  4. Step 4: Simplify right side
    652.68x = 335,910.15
  5. Step 5: Solve for x
    x = 335,910.15/652.68
  6. Step 6: Final answer
    x = 514.66

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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.