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Finding the Fourth Proportional to 854.73, 1,282.13 and 334.71

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Solution

The fourth proportional to 854.73, 1,282.13 and 334.71 is: 502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.73 : 1,282.13 = 334.71 : x
  2. Step 2: Convert to fraction form
    854.73/1,282.13 = 334.71/x
  3. Step 3: Cross multiply
    854.73x = 1,282.13 × 334.71
  4. Step 4: Simplify right side
    854.73x = 429,140.06
  5. Step 5: Solve for x
    x = 429,140.06/854.73
  6. Step 6: Final answer
    x = 502.08

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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.