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Finding the Fourth Proportional to 360.65, 497.59 and 203.23

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Solution

The fourth proportional to 360.65, 497.59 and 203.23 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.65 : 497.59 = 203.23 : x
  2. Step 2: Convert to fraction form
    360.65/497.59 = 203.23/x
  3. Step 3: Cross multiply
    360.65x = 497.59 × 203.23
  4. Step 4: Simplify right side
    360.65x = 101,123.24
  5. Step 5: Solve for x
    x = 101,123.24/360.65
  6. Step 6: Final answer
    x = 280.39

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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.