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Finding the Fourth Proportional to 507.37, 761.03 and 277.71

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Solution

The fourth proportional to 507.37, 761.03 and 277.71 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.37 : 761.03 = 277.71 : x
  2. Step 2: Convert to fraction form
    507.37/761.03 = 277.71/x
  3. Step 3: Cross multiply
    507.37x = 761.03 × 277.71
  4. Step 4: Simplify right side
    507.37x = 211,348.93
  5. Step 5: Solve for x
    x = 211,348.93/507.37
  6. Step 6: Final answer
    x = 416.56

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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.