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Finding the Fourth Proportional to 652.73, 900.95 and 465.92

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Solution

The fourth proportional to 652.73, 900.95 and 465.92 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.73 : 900.95 = 465.92 : x
  2. Step 2: Convert to fraction form
    652.73/900.95 = 465.92/x
  3. Step 3: Cross multiply
    652.73x = 900.95 × 465.92
  4. Step 4: Simplify right side
    652.73x = 419,763.79
  5. Step 5: Solve for x
    x = 419,763.79/652.73
  6. Step 6: Final answer
    x = 643.09

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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.