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Finding the Fourth Proportional to 554.92, 832.39 and 281.14

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Solution

The fourth proportional to 554.92, 832.39 and 281.14 is: 421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.92 : 832.39 = 281.14 : x
  2. Step 2: Convert to fraction form
    554.92/832.39 = 281.14/x
  3. Step 3: Cross multiply
    554.92x = 832.39 × 281.14
  4. Step 4: Simplify right side
    554.92x = 234,018.12
  5. Step 5: Solve for x
    x = 234,018.12/554.92
  6. Step 6: Final answer
    x = 421.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.