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Finding the Fourth Proportional to 355.16, 532.40 and 268.59

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Solution

The fourth proportional to 355.16, 532.40 and 268.59 is: 402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.16 : 532.40 = 268.59 : x
  2. Step 2: Convert to fraction form
    355.16/532.40 = 268.59/x
  3. Step 3: Cross multiply
    355.16x = 532.40 × 268.59
  4. Step 4: Simplify right side
    355.16x = 142,997.23
  5. Step 5: Solve for x
    x = 142,997.23/355.16
  6. Step 6: Final answer
    x = 402.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.