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Finding the Fourth Proportional to 594.54, 892.14 and 316.92

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Solution

The fourth proportional to 594.54, 892.14 and 316.92 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.54 : 892.14 = 316.92 : x
  2. Step 2: Convert to fraction form
    594.54/892.14 = 316.92/x
  3. Step 3: Cross multiply
    594.54x = 892.14 × 316.92
  4. Step 4: Simplify right side
    594.54x = 282,737.01
  5. Step 5: Solve for x
    x = 282,737.01/594.54
  6. Step 6: Final answer
    x = 475.56

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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.