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Finding the Fourth Proportional to 765.30, 1,146.42 and 353.85

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Solution

The fourth proportional to 765.30, 1,146.42 and 353.85 is: 530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,146.42 = 353.85 : x
  2. Step 2: Convert to fraction form
    765.30/1,146.42 = 353.85/x
  3. Step 3: Cross multiply
    765.30x = 1,146.42 × 353.85
  4. Step 4: Simplify right side
    765.30x = 405,660.72
  5. Step 5: Solve for x
    x = 405,660.72/765.30
  6. Step 6: Final answer
    x = 530.07

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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.