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Finding the Fourth Proportional to 729, 1,093.38 and 318.36

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Solution

The fourth proportional to 729, 1,093.38 and 318.36 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729 : 1,093.38 = 318.36 : x
  2. Step 2: Convert to fraction form
    729/1,093.38 = 318.36/x
  3. Step 3: Cross multiply
    729x = 1,093.38 × 318.36
  4. Step 4: Simplify right side
    729x = 348,088.46
  5. Step 5: Solve for x
    x = 348,088.46/729
  6. Step 6: Final answer
    x = 477.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.