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Finding the Fourth Proportional to 506.95, 758.79 and 360.34

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Solution

The fourth proportional to 506.95, 758.79 and 360.34 is: 539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 758.79 = 360.34 : x
  2. Step 2: Convert to fraction form
    506.95/758.79 = 360.34/x
  3. Step 3: Cross multiply
    506.95x = 758.79 × 360.34
  4. Step 4: Simplify right side
    506.95x = 273,420.49
  5. Step 5: Solve for x
    x = 273,420.49/506.95
  6. Step 6: Final answer
    x = 539.35

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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.