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Finding the Fourth Proportional to 424.17, 583.59 and 374.16

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Solution

The fourth proportional to 424.17, 583.59 and 374.16 is: 514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.17 : 583.59 = 374.16 : x
  2. Step 2: Convert to fraction form
    424.17/583.59 = 374.16/x
  3. Step 3: Cross multiply
    424.17x = 583.59 × 374.16
  4. Step 4: Simplify right side
    424.17x = 218,356.03
  5. Step 5: Solve for x
    x = 218,356.03/424.17
  6. Step 6: Final answer
    x = 514.78

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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.