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Finding the Fourth Proportional to 507.84, 761.75 and 199.61

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Solution

The fourth proportional to 507.84, 761.75 and 199.61 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 761.75 = 199.61 : x
  2. Step 2: Convert to fraction form
    507.84/761.75 = 199.61/x
  3. Step 3: Cross multiply
    507.84x = 761.75 × 199.61
  4. Step 4: Simplify right side
    507.84x = 152,048.11
  5. Step 5: Solve for x
    x = 152,048.11/507.84
  6. Step 6: Final answer
    x = 299.40

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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.