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Finding the Fourth Proportional to 489.92, 675.84 and 403.28

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Solution

The fourth proportional to 489.92, 675.84 and 403.28 is: 556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.92 : 675.84 = 403.28 : x
  2. Step 2: Convert to fraction form
    489.92/675.84 = 403.28/x
  3. Step 3: Cross multiply
    489.92x = 675.84 × 403.28
  4. Step 4: Simplify right side
    489.92x = 272,552.76
  5. Step 5: Solve for x
    x = 272,552.76/489.92
  6. Step 6: Final answer
    x = 556.32

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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.