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Finding the Fourth Proportional to 340.26, 510.84 and 272.40

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Solution

The fourth proportional to 340.26, 510.84 and 272.40 is: 408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 510.84 = 272.40 : x
  2. Step 2: Convert to fraction form
    340.26/510.84 = 272.40/x
  3. Step 3: Cross multiply
    340.26x = 510.84 × 272.40
  4. Step 4: Simplify right side
    340.26x = 139,152.82
  5. Step 5: Solve for x
    x = 139,152.82/340.26
  6. Step 6: Final answer
    x = 408.96

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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.