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Finding the Fourth Proportional to 507.46, 760.71 and 199.51

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Solution

The fourth proportional to 507.46, 760.71 and 199.51 is: 299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.46 : 760.71 = 199.51 : x
  2. Step 2: Convert to fraction form
    507.46/760.71 = 199.51/x
  3. Step 3: Cross multiply
    507.46x = 760.71 × 199.51
  4. Step 4: Simplify right side
    507.46x = 151,769.25
  5. Step 5: Solve for x
    x = 151,769.25/507.46
  6. Step 6: Final answer
    x = 299.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.