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Finding the Fourth Proportional to 367.65, 507.42 and 210.29

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Solution

The fourth proportional to 367.65, 507.42 and 210.29 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.65 : 507.42 = 210.29 : x
  2. Step 2: Convert to fraction form
    367.65/507.42 = 210.29/x
  3. Step 3: Cross multiply
    367.65x = 507.42 × 210.29
  4. Step 4: Simplify right side
    367.65x = 106,705.35
  5. Step 5: Solve for x
    x = 106,705.35/367.65
  6. Step 6: Final answer
    x = 290.24

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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.