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Finding the Fourth Proportional to 353.60, 527.02 and 334.14

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Solution

The fourth proportional to 353.60, 527.02 and 334.14 is: 498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 527.02 = 334.14 : x
  2. Step 2: Convert to fraction form
    353.60/527.02 = 334.14/x
  3. Step 3: Cross multiply
    353.60x = 527.02 × 334.14
  4. Step 4: Simplify right side
    353.60x = 176,098.46
  5. Step 5: Solve for x
    x = 176,098.46/353.60
  6. Step 6: Final answer
    x = 498.02

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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.