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Finding the Fourth Proportional to 873.68, 1,310.69 and 257.40

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Solution

The fourth proportional to 873.68, 1,310.69 and 257.40 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.68 : 1,310.69 = 257.40 : x
  2. Step 2: Convert to fraction form
    873.68/1,310.69 = 257.40/x
  3. Step 3: Cross multiply
    873.68x = 1,310.69 × 257.40
  4. Step 4: Simplify right side
    873.68x = 337,372.25
  5. Step 5: Solve for x
    x = 337,372.25/873.68
  6. Step 6: Final answer
    x = 386.15

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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.