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Finding the Fourth Proportional to 873.29, 1,310.12 and 257.00

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Solution

The fourth proportional to 873.29, 1,310.12 and 257.00 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.29 : 1,310.12 = 257.00 : x
  2. Step 2: Convert to fraction form
    873.29/1,310.12 = 257.00/x
  3. Step 3: Cross multiply
    873.29x = 1,310.12 × 257.00
  4. Step 4: Simplify right side
    873.29x = 336,693.00
  5. Step 5: Solve for x
    x = 336,693.00/873.29
  6. Step 6: Final answer
    x = 385.55

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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.