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Finding the Fourth Proportional to 690.16, 1,035.12 and 257.26

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Solution

The fourth proportional to 690.16, 1,035.12 and 257.26 is: 385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 1,035.12 = 257.26 : x
  2. Step 2: Convert to fraction form
    690.16/1,035.12 = 257.26/x
  3. Step 3: Cross multiply
    690.16x = 1,035.12 × 257.26
  4. Step 4: Simplify right side
    690.16x = 266,294.97
  5. Step 5: Solve for x
    x = 266,294.97/690.16
  6. Step 6: Final answer
    x = 385.85

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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.