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Finding the Fourth Proportional to 263.04, 362.88 and 257.28

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Solution

The fourth proportional to 263.04, 362.88 and 257.28 is: 354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.04 : 362.88 = 257.28 : x
  2. Step 2: Convert to fraction form
    263.04/362.88 = 257.28/x
  3. Step 3: Cross multiply
    263.04x = 362.88 × 257.28
  4. Step 4: Simplify right side
    263.04x = 93,361.77
  5. Step 5: Solve for x
    x = 93,361.77/263.04
  6. Step 6: Final answer
    x = 354.93

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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.