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Finding the Fourth Proportional to 390.18, 538.47 and 215.52

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Solution

The fourth proportional to 390.18, 538.47 and 215.52 is: 297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 538.47 = 215.52 : x
  2. Step 2: Convert to fraction form
    390.18/538.47 = 215.52/x
  3. Step 3: Cross multiply
    390.18x = 538.47 × 215.52
  4. Step 4: Simplify right side
    390.18x = 116,051.05
  5. Step 5: Solve for x
    x = 116,051.05/390.18
  6. Step 6: Final answer
    x = 297.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.