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Finding the Fourth Proportional to 349.64, 524.24 and 334.66

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Solution

The fourth proportional to 349.64, 524.24 and 334.66 is: 501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.64 : 524.24 = 334.66 : x
  2. Step 2: Convert to fraction form
    349.64/524.24 = 334.66/x
  3. Step 3: Cross multiply
    349.64x = 524.24 × 334.66
  4. Step 4: Simplify right side
    349.64x = 175,442.16
  5. Step 5: Solve for x
    x = 175,442.16/349.64
  6. Step 6: Final answer
    x = 501.78

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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.