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Finding the Fourth Proportional to 401.52, 602.64 and 257.40

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Solution

The fourth proportional to 401.52, 602.64 and 257.40 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 602.64 = 257.40 : x
  2. Step 2: Convert to fraction form
    401.52/602.64 = 257.40/x
  3. Step 3: Cross multiply
    401.52x = 602.64 × 257.40
  4. Step 4: Simplify right side
    401.52x = 155,119.54
  5. Step 5: Solve for x
    x = 155,119.54/401.52
  6. Step 6: Final answer
    x = 386.33

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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.