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Finding the Fourth Proportional to 390.18, 538.46 and 215.53

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Solution

The fourth proportional to 390.18, 538.46 and 215.53 is: 297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 538.46 = 215.53 : x
  2. Step 2: Convert to fraction form
    390.18/538.46 = 215.53/x
  3. Step 3: Cross multiply
    390.18x = 538.46 × 215.53
  4. Step 4: Simplify right side
    390.18x = 116,051.86
  5. Step 5: Solve for x
    x = 116,051.86/390.18
  6. Step 6: Final answer
    x = 297.43

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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.