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Finding the Fourth Proportional to 738.20, 1,018.60 and 423.35

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Solution

The fourth proportional to 738.20, 1,018.60 and 423.35 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.20 : 1,018.60 = 423.35 : x
  2. Step 2: Convert to fraction form
    738.20/1,018.60 = 423.35/x
  3. Step 3: Cross multiply
    738.20x = 1,018.60 × 423.35
  4. Step 4: Simplify right side
    738.20x = 431,224.31
  5. Step 5: Solve for x
    x = 431,224.31/738.20
  6. Step 6: Final answer
    x = 584.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.