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Finding the Fourth Proportional to 507.76, 761.84 and 199.71

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Solution

The fourth proportional to 507.76, 761.84 and 199.71 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.84 = 199.71 : x
  2. Step 2: Convert to fraction form
    507.76/761.84 = 199.71/x
  3. Step 3: Cross multiply
    507.76x = 761.84 × 199.71
  4. Step 4: Simplify right side
    507.76x = 152,147.07
  5. Step 5: Solve for x
    x = 152,147.07/507.76
  6. Step 6: Final answer
    x = 299.64

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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.