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Finding the Fourth Proportional to 738.24, 1,018.78 and 423.52

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Solution

The fourth proportional to 738.24, 1,018.78 and 423.52 is: 584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.24 : 1,018.78 = 423.52 : x
  2. Step 2: Convert to fraction form
    738.24/1,018.78 = 423.52/x
  3. Step 3: Cross multiply
    738.24x = 1,018.78 × 423.52
  4. Step 4: Simplify right side
    738.24x = 431,470.10
  5. Step 5: Solve for x
    x = 431,470.10/738.24
  6. Step 6: Final answer
    x = 584.46

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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.