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Finding the Fourth Proportional to 690.16, 1,034.52 and 257.14

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Solution

The fourth proportional to 690.16, 1,034.52 and 257.14 is: 385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 1,034.52 = 257.14 : x
  2. Step 2: Convert to fraction form
    690.16/1,034.52 = 257.14/x
  3. Step 3: Cross multiply
    690.16x = 1,034.52 × 257.14
  4. Step 4: Simplify right side
    690.16x = 266,016.47
  5. Step 5: Solve for x
    x = 266,016.47/690.16
  6. Step 6: Final answer
    x = 385.44

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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.