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Finding the Fourth Proportional to 353.60, 527.78 and 313.05

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Solution

The fourth proportional to 353.60, 527.78 and 313.05 is: 467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 527.78 = 313.05 : x
  2. Step 2: Convert to fraction form
    353.60/527.78 = 313.05/x
  3. Step 3: Cross multiply
    353.60x = 527.78 × 313.05
  4. Step 4: Simplify right side
    353.60x = 165,219.96
  5. Step 5: Solve for x
    x = 165,219.96/353.60
  6. Step 6: Final answer
    x = 467.26

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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.