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Finding the Fourth Proportional to 595.28, 892.88 and 184.38

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Solution

The fourth proportional to 595.28, 892.88 and 184.38 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.28 : 892.88 = 184.38 : x
  2. Step 2: Convert to fraction form
    595.28/892.88 = 184.38/x
  3. Step 3: Cross multiply
    595.28x = 892.88 × 184.38
  4. Step 4: Simplify right side
    595.28x = 164,628.29
  5. Step 5: Solve for x
    x = 164,628.29/595.28
  6. Step 6: Final answer
    x = 276.56

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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.