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Finding the Fourth Proportional to 462.86, 638.86 and 288.10

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Solution

The fourth proportional to 462.86, 638.86 and 288.10 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 638.86 = 288.10 : x
  2. Step 2: Convert to fraction form
    462.86/638.86 = 288.10/x
  3. Step 3: Cross multiply
    462.86x = 638.86 × 288.10
  4. Step 4: Simplify right side
    462.86x = 184,055.57
  5. Step 5: Solve for x
    x = 184,055.57/462.86
  6. Step 6: Final answer
    x = 397.65

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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.