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Finding the Fourth Proportional to 663.33, 914.72 and 497.28

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Solution

The fourth proportional to 663.33, 914.72 and 497.28 is: 685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.33 : 914.72 = 497.28 : x
  2. Step 2: Convert to fraction form
    663.33/914.72 = 497.28/x
  3. Step 3: Cross multiply
    663.33x = 914.72 × 497.28
  4. Step 4: Simplify right side
    663.33x = 454,869.48
  5. Step 5: Solve for x
    x = 454,869.48/663.33
  6. Step 6: Final answer
    x = 685.74

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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.