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Finding the Fourth Proportional to 503.13, 694.31 and 328.47

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Solution

The fourth proportional to 503.13, 694.31 and 328.47 is: 453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.13 : 694.31 = 328.47 : x
  2. Step 2: Convert to fraction form
    503.13/694.31 = 328.47/x
  3. Step 3: Cross multiply
    503.13x = 694.31 × 328.47
  4. Step 4: Simplify right side
    503.13x = 228,060.83
  5. Step 5: Solve for x
    x = 228,060.83/503.13
  6. Step 6: Final answer
    x = 453.29

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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.