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Finding the Fourth Proportional to 594.28, 891.44 and 209.52

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Solution

The fourth proportional to 594.28, 891.44 and 209.52 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.28 : 891.44 = 209.52 : x
  2. Step 2: Convert to fraction form
    594.28/891.44 = 209.52/x
  3. Step 3: Cross multiply
    594.28x = 891.44 × 209.52
  4. Step 4: Simplify right side
    594.28x = 186,774.51
  5. Step 5: Solve for x
    x = 186,774.51/594.28
  6. Step 6: Final answer
    x = 314.29

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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.