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Finding the Fourth Proportional to 594.58, 891.78 and 161.77

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Solution

The fourth proportional to 594.58, 891.78 and 161.77 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.58 : 891.78 = 161.77 : x
  2. Step 2: Convert to fraction form
    594.58/891.78 = 161.77/x
  3. Step 3: Cross multiply
    594.58x = 891.78 × 161.77
  4. Step 4: Simplify right side
    594.58x = 144,263.25
  5. Step 5: Solve for x
    x = 144,263.25/594.58
  6. Step 6: Final answer
    x = 242.63

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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.