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Finding the Fourth Proportional to 873.27, 1,308.69 and 409.95

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Solution

The fourth proportional to 873.27, 1,308.69 and 409.95 is: 614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.27 : 1,308.69 = 409.95 : x
  2. Step 2: Convert to fraction form
    873.27/1,308.69 = 409.95/x
  3. Step 3: Cross multiply
    873.27x = 1,308.69 × 409.95
  4. Step 4: Simplify right side
    873.27x = 536,497.47
  5. Step 5: Solve for x
    x = 536,497.47/873.27
  6. Step 6: Final answer
    x = 614.35

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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.