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Finding the Fourth Proportional to 407.06, 562.04 and 274.70

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Solution

The fourth proportional to 407.06, 562.04 and 274.70 is: 379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 562.04 = 274.70 : x
  2. Step 2: Convert to fraction form
    407.06/562.04 = 274.70/x
  3. Step 3: Cross multiply
    407.06x = 562.04 × 274.70
  4. Step 4: Simplify right side
    407.06x = 154,392.39
  5. Step 5: Solve for x
    x = 154,392.39/407.06
  6. Step 6: Final answer
    x = 379.29

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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.