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Finding the Fourth Proportional to 360.47, 497.42 and 203.09

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Solution

The fourth proportional to 360.47, 497.42 and 203.09 is: 280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.47 : 497.42 = 203.09 : x
  2. Step 2: Convert to fraction form
    360.47/497.42 = 203.09/x
  3. Step 3: Cross multiply
    360.47x = 497.42 × 203.09
  4. Step 4: Simplify right side
    360.47x = 101,017.53
  5. Step 5: Solve for x
    x = 101,017.53/360.47
  6. Step 6: Final answer
    x = 280.24

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1.5x scale

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.