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Finding the Fourth Proportional to 390.68, 539.13 and 216.02

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Solution

The fourth proportional to 390.68, 539.13 and 216.02 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.68 : 539.13 = 216.02 : x
  2. Step 2: Convert to fraction form
    390.68/539.13 = 216.02/x
  3. Step 3: Cross multiply
    390.68x = 539.13 × 216.02
  4. Step 4: Simplify right side
    390.68x = 116,459.09
  5. Step 5: Solve for x
    x = 116,459.09/390.68
  6. Step 6: Final answer
    x = 298.10

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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.