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Finding the Fourth Proportional to 553.49, 763.13 and 465.65

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Solution

The fourth proportional to 553.49, 763.13 and 465.65 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.49 : 763.13 = 465.65 : x
  2. Step 2: Convert to fraction form
    553.49/763.13 = 465.65/x
  3. Step 3: Cross multiply
    553.49x = 763.13 × 465.65
  4. Step 4: Simplify right side
    553.49x = 355,349.16
  5. Step 5: Solve for x
    x = 355,349.16/553.49
  6. Step 6: Final answer
    x = 642.02

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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.