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Finding the Fourth Proportional to 652.24, 900.48 and 579.34

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Solution

The fourth proportional to 652.24, 900.48 and 579.34 is: 799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.24 : 900.48 = 579.34 : x
  2. Step 2: Convert to fraction form
    652.24/900.48 = 579.34/x
  3. Step 3: Cross multiply
    652.24x = 900.48 × 579.34
  4. Step 4: Simplify right side
    652.24x = 521,684.08
  5. Step 5: Solve for x
    x = 521,684.08/652.24
  6. Step 6: Final answer
    x = 799.83

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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.