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Finding the Fourth Proportional to 401.68, 602.88 and 257.68

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Solution

The fourth proportional to 401.68, 602.88 and 257.68 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 602.88 = 257.68 : x
  2. Step 2: Convert to fraction form
    401.68/602.88 = 257.68/x
  3. Step 3: Cross multiply
    401.68x = 602.88 × 257.68
  4. Step 4: Simplify right side
    401.68x = 155,350.12
  5. Step 5: Solve for x
    x = 155,350.12/401.68
  6. Step 6: Final answer
    x = 386.75

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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.