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Finding the Fourth Proportional to 503.52, 694.64 and 316.86

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Solution

The fourth proportional to 503.52, 694.64 and 316.86 is: 437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.52 : 694.64 = 316.86 : x
  2. Step 2: Convert to fraction form
    503.52/694.64 = 316.86/x
  3. Step 3: Cross multiply
    503.52x = 694.64 × 316.86
  4. Step 4: Simplify right side
    503.52x = 220,103.63
  5. Step 5: Solve for x
    x = 220,103.63/503.52
  6. Step 6: Final answer
    x = 437.13

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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.