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Finding the Fourth Proportional to 507.94, 763.35 and 325.78

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Solution

The fourth proportional to 507.94, 763.35 and 325.78 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 763.35 = 325.78 : x
  2. Step 2: Convert to fraction form
    507.94/763.35 = 325.78/x
  3. Step 3: Cross multiply
    507.94x = 763.35 × 325.78
  4. Step 4: Simplify right side
    507.94x = 248,684.16
  5. Step 5: Solve for x
    x = 248,684.16/507.94
  6. Step 6: Final answer
    x = 489.59

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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.