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Finding the Fourth Proportional to 502.77, 694.07 and 316.35

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Solution

The fourth proportional to 502.77, 694.07 and 316.35 is: 436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.77 : 694.07 = 316.35 : x
  2. Step 2: Convert to fraction form
    502.77/694.07 = 316.35/x
  3. Step 3: Cross multiply
    502.77x = 694.07 × 316.35
  4. Step 4: Simplify right side
    502.77x = 219,569.04
  5. Step 5: Solve for x
    x = 219,569.04/502.77
  6. Step 6: Final answer
    x = 436.72

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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.