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Finding the Fourth Proportional to 687.29, 948.24 and 392.45

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Solution

The fourth proportional to 687.29, 948.24 and 392.45 is: 541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 948.24 = 392.45 : x
  2. Step 2: Convert to fraction form
    687.29/948.24 = 392.45/x
  3. Step 3: Cross multiply
    687.29x = 948.24 × 392.45
  4. Step 4: Simplify right side
    687.29x = 372,132.05
  5. Step 5: Solve for x
    x = 372,132.05/687.29
  6. Step 6: Final answer
    x = 541.45

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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.