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Finding the Fourth Proportional to 314.55, 434.16 and 281.75

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Solution

The fourth proportional to 314.55, 434.16 and 281.75 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.55 : 434.16 = 281.75 : x
  2. Step 2: Convert to fraction form
    314.55/434.16 = 281.75/x
  3. Step 3: Cross multiply
    314.55x = 434.16 × 281.75
  4. Step 4: Simplify right side
    314.55x = 122,322.41
  5. Step 5: Solve for x
    x = 122,322.41/314.55
  6. Step 6: Final answer
    x = 388.88

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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.