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Finding the Fourth Proportional to 343.36, 515.04 and 285.76

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Solution

The fourth proportional to 343.36, 515.04 and 285.76 is: 428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 515.04 = 285.76 : x
  2. Step 2: Convert to fraction form
    343.36/515.04 = 285.76/x
  3. Step 3: Cross multiply
    343.36x = 515.04 × 285.76
  4. Step 4: Simplify right side
    343.36x = 147,177.83
  5. Step 5: Solve for x
    x = 147,177.83/343.36
  6. Step 6: Final answer
    x = 428.64

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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.