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Finding the Fourth Proportional to 438.76, 605.64 and 314.49

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Solution

The fourth proportional to 438.76, 605.64 and 314.49 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.76 : 605.64 = 314.49 : x
  2. Step 2: Convert to fraction form
    438.76/605.64 = 314.49/x
  3. Step 3: Cross multiply
    438.76x = 605.64 × 314.49
  4. Step 4: Simplify right side
    438.76x = 190,467.72
  5. Step 5: Solve for x
    x = 190,467.72/438.76
  6. Step 6: Final answer
    x = 434.10

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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.