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Finding the Fourth Proportional to 314.64, 434.32 and 281.83

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Solution

The fourth proportional to 314.64, 434.32 and 281.83 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 434.32 = 281.83 : x
  2. Step 2: Convert to fraction form
    314.64/434.32 = 281.83/x
  3. Step 3: Cross multiply
    314.64x = 434.32 × 281.83
  4. Step 4: Simplify right side
    314.64x = 122,404.41
  5. Step 5: Solve for x
    x = 122,404.41/314.64
  6. Step 6: Final answer
    x = 389.03

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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.