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Finding the Fourth Proportional to 854.34, 1,280.35 and 366.76

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Solution

The fourth proportional to 854.34, 1,280.35 and 366.76 is: 549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.34 : 1,280.35 = 366.76 : x
  2. Step 2: Convert to fraction form
    854.34/1,280.35 = 366.76/x
  3. Step 3: Cross multiply
    854.34x = 1,280.35 × 366.76
  4. Step 4: Simplify right side
    854.34x = 469,581.17
  5. Step 5: Solve for x
    x = 469,581.17/854.34
  6. Step 6: Final answer
    x = 549.64

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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.