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Finding the Fourth Proportional to 285.20, 392.64 and 207.44

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Solution

The fourth proportional to 285.20, 392.64 and 207.44 is: 285.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.20 : 392.64 = 207.44 : x
  2. Step 2: Convert to fraction form
    285.20/392.64 = 207.44/x
  3. Step 3: Cross multiply
    285.20x = 392.64 × 207.44
  4. Step 4: Simplify right side
    285.20x = 81,449.24
  5. Step 5: Solve for x
    x = 81,449.24/285.20
  6. Step 6: Final answer
    x = 285.59

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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.