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Finding the Fourth Proportional to 353.83, 527.76 and 343.03

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Solution

The fourth proportional to 353.83, 527.76 and 343.03 is: 511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.83 : 527.76 = 343.03 : x
  2. Step 2: Convert to fraction form
    353.83/527.76 = 343.03/x
  3. Step 3: Cross multiply
    353.83x = 527.76 × 343.03
  4. Step 4: Simplify right side
    353.83x = 181,037.51
  5. Step 5: Solve for x
    x = 181,037.51/353.83
  6. Step 6: Final answer
    x = 511.65

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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.