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Finding the Fourth Proportional to 438.40, 604.92 and 314.08

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Solution

The fourth proportional to 438.40, 604.92 and 314.08 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 604.92 = 314.08 : x
  2. Step 2: Convert to fraction form
    438.40/604.92 = 314.08/x
  3. Step 3: Cross multiply
    438.40x = 604.92 × 314.08
  4. Step 4: Simplify right side
    438.40x = 189,993.27
  5. Step 5: Solve for x
    x = 189,993.27/438.40
  6. Step 6: Final answer
    x = 433.38

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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.