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Finding the Fourth Proportional to 355.14, 530.10 and 329.78

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Solution

The fourth proportional to 355.14, 530.10 and 329.78 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.14 : 530.10 = 329.78 : x
  2. Step 2: Convert to fraction form
    355.14/530.10 = 329.78/x
  3. Step 3: Cross multiply
    355.14x = 530.10 × 329.78
  4. Step 4: Simplify right side
    355.14x = 174,814.73
  5. Step 5: Solve for x
    x = 174,814.73/355.14
  6. Step 6: Final answer
    x = 492.24

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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.