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Finding the Fourth Proportional to 356.48, 537.44 and 293.12

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Solution

The fourth proportional to 356.48, 537.44 and 293.12 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.48 : 537.44 = 293.12 : x
  2. Step 2: Convert to fraction form
    356.48/537.44 = 293.12/x
  3. Step 3: Cross multiply
    356.48x = 537.44 × 293.12
  4. Step 4: Simplify right side
    356.48x = 157,534.41
  5. Step 5: Solve for x
    x = 157,534.41/356.48
  6. Step 6: Final answer
    x = 441.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.