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Finding the Fourth Proportional to 462.16, 637.64 and 278.16

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Solution

The fourth proportional to 462.16, 637.64 and 278.16 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 637.64 = 278.16 : x
  2. Step 2: Convert to fraction form
    462.16/637.64 = 278.16/x
  3. Step 3: Cross multiply
    462.16x = 637.64 × 278.16
  4. Step 4: Simplify right side
    462.16x = 177,365.94
  5. Step 5: Solve for x
    x = 177,365.94/462.16
  6. Step 6: Final answer
    x = 383.78

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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.