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Finding the Fourth Proportional to 386.24, 578.40 and 349.76

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Solution

The fourth proportional to 386.24, 578.40 and 349.76 is: 523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 578.40 = 349.76 : x
  2. Step 2: Convert to fraction form
    386.24/578.40 = 349.76/x
  3. Step 3: Cross multiply
    386.24x = 578.40 × 349.76
  4. Step 4: Simplify right side
    386.24x = 202,301.18
  5. Step 5: Solve for x
    x = 202,301.18/386.24
  6. Step 6: Final answer
    x = 523.77

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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.