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Finding the Fourth Proportional to 491.68, 677.92 and 393.28

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Solution

The fourth proportional to 491.68, 677.92 and 393.28 is: 542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.68 : 677.92 = 393.28 : x
  2. Step 2: Convert to fraction form
    491.68/677.92 = 393.28/x
  3. Step 3: Cross multiply
    491.68x = 677.92 × 393.28
  4. Step 4: Simplify right side
    491.68x = 266,612.38
  5. Step 5: Solve for x
    x = 266,612.38/491.68
  6. Step 6: Final answer
    x = 542.25

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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.