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Finding the Fourth Proportional to 556.53, 833.50 and 281.96

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Solution

The fourth proportional to 556.53, 833.50 and 281.96 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.53 : 833.50 = 281.96 : x
  2. Step 2: Convert to fraction form
    556.53/833.50 = 281.96/x
  3. Step 3: Cross multiply
    556.53x = 833.50 × 281.96
  4. Step 4: Simplify right side
    556.53x = 235,008.79
  5. Step 5: Solve for x
    x = 235,008.79/556.53
  6. Step 6: Final answer
    x = 422.28

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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.