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Finding the Fourth Proportional to 263.28, 392.64 and 260.16

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Solution

The fourth proportional to 263.28, 392.64 and 260.16 is: 387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 392.64 = 260.16 : x
  2. Step 2: Convert to fraction form
    263.28/392.64 = 260.16/x
  3. Step 3: Cross multiply
    263.28x = 392.64 × 260.16
  4. Step 4: Simplify right side
    263.28x = 102,149.22
  5. Step 5: Solve for x
    x = 102,149.22/263.28
  6. Step 6: Final answer
    x = 387.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.