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Finding the Fourth Proportional to 412.84, 569.73 and 247.07

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Solution

The fourth proportional to 412.84, 569.73 and 247.07 is: 340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.73 = 247.07 : x
  2. Step 2: Convert to fraction form
    412.84/569.73 = 247.07/x
  3. Step 3: Cross multiply
    412.84x = 569.73 × 247.07
  4. Step 4: Simplify right side
    412.84x = 140,759.11
  5. Step 5: Solve for x
    x = 140,759.11/412.84
  6. Step 6: Final answer
    x = 340.95

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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.