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Finding the Fourth Proportional to 390.42, 538.47 and 266.22

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Solution

The fourth proportional to 390.42, 538.47 and 266.22 is: 367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 538.47 = 266.22 : x
  2. Step 2: Convert to fraction form
    390.42/538.47 = 266.22/x
  3. Step 3: Cross multiply
    390.42x = 538.47 × 266.22
  4. Step 4: Simplify right side
    390.42x = 143,351.48
  5. Step 5: Solve for x
    x = 143,351.48/390.42
  6. Step 6: Final answer
    x = 367.17

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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.