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Finding the Fourth Proportional to 438.12, 654.66 and 377.46

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Solution

The fourth proportional to 438.12, 654.66 and 377.46 is: 564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.12 : 654.66 = 377.46 : x
  2. Step 2: Convert to fraction form
    438.12/654.66 = 377.46/x
  3. Step 3: Cross multiply
    438.12x = 654.66 × 377.46
  4. Step 4: Simplify right side
    438.12x = 247,107.96
  5. Step 5: Solve for x
    x = 247,107.96/438.12
  6. Step 6: Final answer
    x = 564.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.