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Finding the Fourth Proportional to 390.32, 538.64 and 213.28

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Solution

The fourth proportional to 390.32, 538.64 and 213.28 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.32 : 538.64 = 213.28 : x
  2. Step 2: Convert to fraction form
    390.32/538.64 = 213.28/x
  3. Step 3: Cross multiply
    390.32x = 538.64 × 213.28
  4. Step 4: Simplify right side
    390.32x = 114,877.38
  5. Step 5: Solve for x
    x = 114,877.38/390.32
  6. Step 6: Final answer
    x = 294.32

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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.