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Finding the Fourth Proportional to 524.06, 721.67 and 468.78

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Solution

The fourth proportional to 524.06, 721.67 and 468.78 is: 645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 721.67 = 468.78 : x
  2. Step 2: Convert to fraction form
    524.06/721.67 = 468.78/x
  3. Step 3: Cross multiply
    524.06x = 721.67 × 468.78
  4. Step 4: Simplify right side
    524.06x = 338,302.12
  5. Step 5: Solve for x
    x = 338,302.12/524.06
  6. Step 6: Final answer
    x = 645.55

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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.