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Finding the Fourth Proportional to 502.66, 693.32 and 316.16

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Solution

The fourth proportional to 502.66, 693.32 and 316.16 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.66 : 693.32 = 316.16 : x
  2. Step 2: Convert to fraction form
    502.66/693.32 = 316.16/x
  3. Step 3: Cross multiply
    502.66x = 693.32 × 316.16
  4. Step 4: Simplify right side
    502.66x = 219,200.05
  5. Step 5: Solve for x
    x = 219,200.05/502.66
  6. Step 6: Final answer
    x = 436.08

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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.