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Finding the Fourth Proportional to 354.48, 530.96 and 329.57

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Solution

The fourth proportional to 354.48, 530.96 and 329.57 is: 493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.48 : 530.96 = 329.57 : x
  2. Step 2: Convert to fraction form
    354.48/530.96 = 329.57/x
  3. Step 3: Cross multiply
    354.48x = 530.96 × 329.57
  4. Step 4: Simplify right side
    354.48x = 174,986.18
  5. Step 5: Solve for x
    x = 174,986.18/354.48
  6. Step 6: Final answer
    x = 493.65

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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.