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Finding the Fourth Proportional to 502.32, 693.78 and 336.24

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Solution

The fourth proportional to 502.32, 693.78 and 336.24 is: 464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.32 : 693.78 = 336.24 : x
  2. Step 2: Convert to fraction form
    502.32/693.78 = 336.24/x
  3. Step 3: Cross multiply
    502.32x = 693.78 × 336.24
  4. Step 4: Simplify right side
    502.32x = 233,276.59
  5. Step 5: Solve for x
    x = 233,276.59/502.32
  6. Step 6: Final answer
    x = 464.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.