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Finding the Fourth Proportional to 281.51, 424.51 and 277.66

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Solution

The fourth proportional to 281.51, 424.51 and 277.66 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.51 : 424.51 = 277.66 : x
  2. Step 2: Convert to fraction form
    281.51/424.51 = 277.66/x
  3. Step 3: Cross multiply
    281.51x = 424.51 × 277.66
  4. Step 4: Simplify right side
    281.51x = 117,869.45
  5. Step 5: Solve for x
    x = 117,869.45/281.51
  6. Step 6: Final answer
    x = 418.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.