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Finding the Fourth Proportional to 594.40, 891.61 and 183.61

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Solution

The fourth proportional to 594.40, 891.61 and 183.61 is: 275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.40 : 891.61 = 183.61 : x
  2. Step 2: Convert to fraction form
    594.40/891.61 = 183.61/x
  3. Step 3: Cross multiply
    594.40x = 891.61 × 183.61
  4. Step 4: Simplify right side
    594.40x = 163,708.51
  5. Step 5: Solve for x
    x = 163,708.51/594.40
  6. Step 6: Final answer
    x = 275.42

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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.