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Finding the Fourth Proportional to 652.24, 900.07 and 372.54

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Solution

The fourth proportional to 652.24, 900.07 and 372.54 is: 514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 900.07 = 372.54 : x
  2. Step 2: Convert to fraction form
    652.24/900.07 = 372.54/x
  3. Step 3: Cross multiply
    652.24x = 900.07 × 372.54
  4. Step 4: Simplify right side
    652.24x = 335,312.08
  5. Step 5: Solve for x
    x = 335,312.08/652.24
  6. Step 6: Final answer
    x = 514.09

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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.