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Finding the Fourth Proportional to 694.08, 1,041.58 and 328.91

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Solution

The fourth proportional to 694.08, 1,041.58 and 328.91 is: 493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 1,041.58 = 328.91 : x
  2. Step 2: Convert to fraction form
    694.08/1,041.58 = 328.91/x
  3. Step 3: Cross multiply
    694.08x = 1,041.58 × 328.91
  4. Step 4: Simplify right side
    694.08x = 342,586.08
  5. Step 5: Solve for x
    x = 342,586.08/694.08
  6. Step 6: Final answer
    x = 493.58

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