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Finding the Fourth Proportional to 285.72, 394.32 and 245.76

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Solution

The fourth proportional to 285.72, 394.32 and 245.76 is: 339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 394.32 = 245.76 : x
  2. Step 2: Convert to fraction form
    285.72/394.32 = 245.76/x
  3. Step 3: Cross multiply
    285.72x = 394.32 × 245.76
  4. Step 4: Simplify right side
    285.72x = 96,908.08
  5. Step 5: Solve for x
    x = 96,908.08/285.72
  6. Step 6: Final answer
    x = 339.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.