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Finding the Fourth Proportional to 507.29, 761.05 and 199.06

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Solution

The fourth proportional to 507.29, 761.05 and 199.06 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 761.05 = 199.06 : x
  2. Step 2: Convert to fraction form
    507.29/761.05 = 199.06/x
  3. Step 3: Cross multiply
    507.29x = 761.05 × 199.06
  4. Step 4: Simplify right side
    507.29x = 151,494.61
  5. Step 5: Solve for x
    x = 151,494.61/507.29
  6. Step 6: Final answer
    x = 298.64

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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.