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Finding the Fourth Proportional to 390.14, 538.40 and 213.10

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Solution

The fourth proportional to 390.14, 538.40 and 213.10 is: 294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 538.40 = 213.10 : x
  2. Step 2: Convert to fraction form
    390.14/538.40 = 213.10/x
  3. Step 3: Cross multiply
    390.14x = 538.40 × 213.10
  4. Step 4: Simplify right side
    390.14x = 114,733.04
  5. Step 5: Solve for x
    x = 114,733.04/390.14
  6. Step 6: Final answer
    x = 294.08

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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.