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Finding the Fourth Proportional to 652.45, 900.47 and 372.78

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Solution

The fourth proportional to 652.45, 900.47 and 372.78 is: 514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.45 : 900.47 = 372.78 : x
  2. Step 2: Convert to fraction form
    652.45/900.47 = 372.78/x
  3. Step 3: Cross multiply
    652.45x = 900.47 × 372.78
  4. Step 4: Simplify right side
    652.45x = 335,677.21
  5. Step 5: Solve for x
    x = 335,677.21/652.45
  6. Step 6: Final answer
    x = 514.49

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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.