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Finding the Fourth Proportional to 438.30, 604.84 and 314.17

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Solution

The fourth proportional to 438.30, 604.84 and 314.17 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 604.84 = 314.17 : x
  2. Step 2: Convert to fraction form
    438.30/604.84 = 314.17/x
  3. Step 3: Cross multiply
    438.30x = 604.84 × 314.17
  4. Step 4: Simplify right side
    438.30x = 190,022.58
  5. Step 5: Solve for x
    x = 190,022.58/438.30
  6. Step 6: Final answer
    x = 433.54

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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.