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Finding the Fourth Proportional to 462.39, 637.74 and 314.77

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Solution

The fourth proportional to 462.39, 637.74 and 314.77 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.39 : 637.74 = 314.77 : x
  2. Step 2: Convert to fraction form
    462.39/637.74 = 314.77/x
  3. Step 3: Cross multiply
    462.39x = 637.74 × 314.77
  4. Step 4: Simplify right side
    462.39x = 200,741.42
  5. Step 5: Solve for x
    x = 200,741.42/462.39
  6. Step 6: Final answer
    x = 434.14

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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.