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Finding the Fourth Proportional to 390.52, 538.90 and 215.83

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Solution

The fourth proportional to 390.52, 538.90 and 215.83 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.52 : 538.90 = 215.83 : x
  2. Step 2: Convert to fraction form
    390.52/538.90 = 215.83/x
  3. Step 3: Cross multiply
    390.52x = 538.90 × 215.83
  4. Step 4: Simplify right side
    390.52x = 116,310.79
  5. Step 5: Solve for x
    x = 116,310.79/390.52
  6. Step 6: Final answer
    x = 297.84

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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.