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Finding the Fourth Proportional to 652.89, 901.29 and 463.96

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Solution

The fourth proportional to 652.89, 901.29 and 463.96 is: 640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.89 : 901.29 = 463.96 : x
  2. Step 2: Convert to fraction form
    652.89/901.29 = 463.96/x
  3. Step 3: Cross multiply
    652.89x = 901.29 × 463.96
  4. Step 4: Simplify right side
    652.89x = 418,165.37
  5. Step 5: Solve for x
    x = 418,165.37/652.89
  6. Step 6: Final answer
    x = 640.48

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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.