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Finding the Fourth Proportional to 353.50, 488.02 and 265.47

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Solution

The fourth proportional to 353.50, 488.02 and 265.47 is: 366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 488.02 = 265.47 : x
  2. Step 2: Convert to fraction form
    353.50/488.02 = 265.47/x
  3. Step 3: Cross multiply
    353.50x = 488.02 × 265.47
  4. Step 4: Simplify right side
    353.50x = 129,554.67
  5. Step 5: Solve for x
    x = 129,554.67/353.50
  6. Step 6: Final answer
    x = 366.49

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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.