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Finding the Fourth Proportional to 854.22, 1,281.32 and 277.10

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Solution

The fourth proportional to 854.22, 1,281.32 and 277.10 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,281.32 = 277.10 : x
  2. Step 2: Convert to fraction form
    854.22/1,281.32 = 277.10/x
  3. Step 3: Cross multiply
    854.22x = 1,281.32 × 277.10
  4. Step 4: Simplify right side
    854.22x = 355,048.06
  5. Step 5: Solve for x
    x = 355,048.06/854.22
  6. Step 6: Final answer
    x = 415.64

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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.