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Finding the Fourth Proportional to 854.36, 1,281.74 and 277.24

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Solution

The fourth proportional to 854.36, 1,281.74 and 277.24 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.36 : 1,281.74 = 277.24 : x
  2. Step 2: Convert to fraction form
    854.36/1,281.74 = 277.24/x
  3. Step 3: Cross multiply
    854.36x = 1,281.74 × 277.24
  4. Step 4: Simplify right side
    854.36x = 355,343.19
  5. Step 5: Solve for x
    x = 355,343.19/854.36
  6. Step 6: Final answer
    x = 415.92

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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.