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Finding the Fourth Proportional to 417.65, 626.69 and 186.70

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Solution

The fourth proportional to 417.65, 626.69 and 186.70 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 626.69 = 186.70 : x
  2. Step 2: Convert to fraction form
    417.65/626.69 = 186.70/x
  3. Step 3: Cross multiply
    417.65x = 626.69 × 186.70
  4. Step 4: Simplify right side
    417.65x = 117,000.29
  5. Step 5: Solve for x
    x = 117,000.29/417.65
  6. Step 6: Final answer
    x = 280.14

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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.