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Finding the Fourth Proportional to 690.41, 1,035.58 and 257.53

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Solution

The fourth proportional to 690.41, 1,035.58 and 257.53 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.41 : 1,035.58 = 257.53 : x
  2. Step 2: Convert to fraction form
    690.41/1,035.58 = 257.53/x
  3. Step 3: Cross multiply
    690.41x = 1,035.58 × 257.53
  4. Step 4: Simplify right side
    690.41x = 266,694.05
  5. Step 5: Solve for x
    x = 266,694.05/690.41
  6. Step 6: Final answer
    x = 386.28

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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.