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Finding the Fourth Proportional to 424.35, 585.72 and 314.37

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Solution

The fourth proportional to 424.35, 585.72 and 314.37 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.35 : 585.72 = 314.37 : x
  2. Step 2: Convert to fraction form
    424.35/585.72 = 314.37/x
  3. Step 3: Cross multiply
    424.35x = 585.72 × 314.37
  4. Step 4: Simplify right side
    424.35x = 184,132.80
  5. Step 5: Solve for x
    x = 184,132.80/424.35
  6. Step 6: Final answer
    x = 433.92

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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.