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Finding the Fourth Proportional to 438.89, 605.26 and 314.65

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Solution

The fourth proportional to 438.89, 605.26 and 314.65 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.89 : 605.26 = 314.65 : x
  2. Step 2: Convert to fraction form
    438.89/605.26 = 314.65/x
  3. Step 3: Cross multiply
    438.89x = 605.26 × 314.65
  4. Step 4: Simplify right side
    438.89x = 190,442.76
  5. Step 5: Solve for x
    x = 190,442.76/438.89
  6. Step 6: Final answer
    x = 433.92

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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.