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Finding the Fourth Proportional to 594.54, 891.77 and 209.74

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Solution

The fourth proportional to 594.54, 891.77 and 209.74 is: 314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.54 : 891.77 = 209.74 : x
  2. Step 2: Convert to fraction form
    594.54/891.77 = 209.74/x
  3. Step 3: Cross multiply
    594.54x = 891.77 × 209.74
  4. Step 4: Simplify right side
    594.54x = 187,039.84
  5. Step 5: Solve for x
    x = 187,039.84/594.54
  6. Step 6: Final answer
    x = 314.60

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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.