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Finding the Fourth Proportional to 355.79, 534.02 and 219.10

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Solution

The fourth proportional to 355.79, 534.02 and 219.10 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.79 : 534.02 = 219.10 : x
  2. Step 2: Convert to fraction form
    355.79/534.02 = 219.10/x
  3. Step 3: Cross multiply
    355.79x = 534.02 × 219.10
  4. Step 4: Simplify right side
    355.79x = 117,004.47
  5. Step 5: Solve for x
    x = 117,004.47/355.79
  6. Step 6: Final answer
    x = 328.86

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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.