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Finding the Fourth Proportional to 477.84, 716.82 and 153.13

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Solution

The fourth proportional to 477.84, 716.82 and 153.13 is: 229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.84 : 716.82 = 153.13 : x
  2. Step 2: Convert to fraction form
    477.84/716.82 = 153.13/x
  3. Step 3: Cross multiply
    477.84x = 716.82 × 153.13
  4. Step 4: Simplify right side
    477.84x = 109,766.65
  5. Step 5: Solve for x
    x = 109,766.65/477.84
  6. Step 6: Final answer
    x = 229.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.