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Finding the Fourth Proportional to 690.52, 1,035.96 and 257.80

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Solution

The fourth proportional to 690.52, 1,035.96 and 257.80 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 1,035.96 = 257.80 : x
  2. Step 2: Convert to fraction form
    690.52/1,035.96 = 257.80/x
  3. Step 3: Cross multiply
    690.52x = 1,035.96 × 257.80
  4. Step 4: Simplify right side
    690.52x = 267,070.49
  5. Step 5: Solve for x
    x = 267,070.49/690.52
  6. Step 6: Final answer
    x = 386.77

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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.