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Finding the Fourth Proportional to 515.93, 711.72 and 339.19

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Solution

The fourth proportional to 515.93, 711.72 and 339.19 is: 467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.93 : 711.72 = 339.19 : x
  2. Step 2: Convert to fraction form
    515.93/711.72 = 339.19/x
  3. Step 3: Cross multiply
    515.93x = 711.72 × 339.19
  4. Step 4: Simplify right side
    515.93x = 241,406.53
  5. Step 5: Solve for x
    x = 241,406.53/515.93
  6. Step 6: Final answer
    x = 467.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.