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Finding the Fourth Proportional to 390.30, 538.58 and 215.64

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Solution

The fourth proportional to 390.30, 538.58 and 215.64 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 538.58 = 215.64 : x
  2. Step 2: Convert to fraction form
    390.30/538.58 = 215.64/x
  3. Step 3: Cross multiply
    390.30x = 538.58 × 215.64
  4. Step 4: Simplify right side
    390.30x = 116,139.39
  5. Step 5: Solve for x
    x = 116,139.39/390.30
  6. Step 6: Final answer
    x = 297.56

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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.