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Finding the Fourth Proportional to 367.47, 507.09 and 210.13

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Solution

The fourth proportional to 367.47, 507.09 and 210.13 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.47 : 507.09 = 210.13 : x
  2. Step 2: Convert to fraction form
    367.47/507.09 = 210.13/x
  3. Step 3: Cross multiply
    367.47x = 507.09 × 210.13
  4. Step 4: Simplify right side
    367.47x = 106,554.82
  5. Step 5: Solve for x
    x = 106,554.82/367.47
  6. Step 6: Final answer
    x = 289.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.