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Finding the Fourth Proportional to 285.80, 393.93 and 264.87

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Solution

The fourth proportional to 285.80, 393.93 and 264.87 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 393.93 = 264.87 : x
  2. Step 2: Convert to fraction form
    285.80/393.93 = 264.87/x
  3. Step 3: Cross multiply
    285.80x = 393.93 × 264.87
  4. Step 4: Simplify right side
    285.80x = 104,340.24
  5. Step 5: Solve for x
    x = 104,340.24/285.80
  6. Step 6: Final answer
    x = 365.09

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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.