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Finding the Fourth Proportional to 365.42, 504.24 and 210.14

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Solution

The fourth proportional to 365.42, 504.24 and 210.14 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 504.24 = 210.14 : x
  2. Step 2: Convert to fraction form
    365.42/504.24 = 210.14/x
  3. Step 3: Cross multiply
    365.42x = 504.24 × 210.14
  4. Step 4: Simplify right side
    365.42x = 105,960.99
  5. Step 5: Solve for x
    x = 105,960.99/365.42
  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.