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Finding the Fourth Proportional to 652.17, 898.99 and 465.27

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Solution

The fourth proportional to 652.17, 898.99 and 465.27 is: 641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.17 : 898.99 = 465.27 : x
  2. Step 2: Convert to fraction form
    652.17/898.99 = 465.27/x
  3. Step 3: Cross multiply
    652.17x = 898.99 × 465.27
  4. Step 4: Simplify right side
    652.17x = 418,273.08
  5. Step 5: Solve for x
    x = 418,273.08/652.17
  6. Step 6: Final answer
    x = 641.36

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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.