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Finding the Fourth Proportional to 595.94, 894.04 and 211.19

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Solution

The fourth proportional to 595.94, 894.04 and 211.19 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.94 : 894.04 = 211.19 : x
  2. Step 2: Convert to fraction form
    595.94/894.04 = 211.19/x
  3. Step 3: Cross multiply
    595.94x = 894.04 × 211.19
  4. Step 4: Simplify right side
    595.94x = 188,810.60
  5. Step 5: Solve for x
    x = 188,810.60/595.94
  6. Step 6: Final answer
    x = 316.83

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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.