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Finding the Fourth Proportional to 492.54, 677.93 and 426.93

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Solution

The fourth proportional to 492.54, 677.93 and 426.93 is: 587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.54 : 677.93 = 426.93 : x
  2. Step 2: Convert to fraction form
    492.54/677.93 = 426.93/x
  3. Step 3: Cross multiply
    492.54x = 677.93 × 426.93
  4. Step 4: Simplify right side
    492.54x = 289,428.65
  5. Step 5: Solve for x
    x = 289,428.65/492.54
  6. Step 6: Final answer
    x = 587.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.