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Finding the Fourth Proportional to 594.15, 891.08 and 228.84

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Solution

The fourth proportional to 594.15, 891.08 and 228.84 is: 343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.15 : 891.08 = 228.84 : x
  2. Step 2: Convert to fraction form
    594.15/891.08 = 228.84/x
  3. Step 3: Cross multiply
    594.15x = 891.08 × 228.84
  4. Step 4: Simplify right side
    594.15x = 203,914.75
  5. Step 5: Solve for x
    x = 203,914.75/594.15
  6. Step 6: Final answer
    x = 343.20

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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.