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Finding the Fourth Proportional to 853.61, 1,280.52 and 305.72

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Solution

The fourth proportional to 853.61, 1,280.52 and 305.72 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.61 : 1,280.52 = 305.72 : x
  2. Step 2: Convert to fraction form
    853.61/1,280.52 = 305.72/x
  3. Step 3: Cross multiply
    853.61x = 1,280.52 × 305.72
  4. Step 4: Simplify right side
    853.61x = 391,474.17
  5. Step 5: Solve for x
    x = 391,474.17/853.61
  6. Step 6: Final answer
    x = 458.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.