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Finding the Fourth Proportional to 594.41, 891.77 and 229.10

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Solution

The fourth proportional to 594.41, 891.77 and 229.10 is: 343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.41 : 891.77 = 229.10 : x
  2. Step 2: Convert to fraction form
    594.41/891.77 = 229.10/x
  3. Step 3: Cross multiply
    594.41x = 891.77 × 229.10
  4. Step 4: Simplify right side
    594.41x = 204,307.31
  5. Step 5: Solve for x
    x = 204,307.31/594.41
  6. Step 6: Final answer
    x = 343.71

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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.