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Finding the Fourth Proportional to 438.24, 660.37 and 362.90

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Solution

The fourth proportional to 438.24, 660.37 and 362.90 is: 546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.24 : 660.37 = 362.90 : x
  2. Step 2: Convert to fraction form
    438.24/660.37 = 362.90/x
  3. Step 3: Cross multiply
    438.24x = 660.37 × 362.90
  4. Step 4: Simplify right side
    438.24x = 239,643.16
  5. Step 5: Solve for x
    x = 239,643.16/438.24
  6. Step 6: Final answer
    x = 546.83

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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.