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Finding the Fourth Proportional to 353.18, 527.23 and 307.05

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Solution

The fourth proportional to 353.18, 527.23 and 307.05 is: 458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.18 : 527.23 = 307.05 : x
  2. Step 2: Convert to fraction form
    353.18/527.23 = 307.05/x
  3. Step 3: Cross multiply
    353.18x = 527.23 × 307.05
  4. Step 4: Simplify right side
    353.18x = 161,883.72
  5. Step 5: Solve for x
    x = 161,883.72/353.18
  6. Step 6: Final answer
    x = 458.36

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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.