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Finding the Fourth Proportional to 390.40, 539.69 and 298.35

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Solution

The fourth proportional to 390.40, 539.69 and 298.35 is: 412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.40 : 539.69 = 298.35 : x
  2. Step 2: Convert to fraction form
    390.40/539.69 = 298.35/x
  3. Step 3: Cross multiply
    390.40x = 539.69 × 298.35
  4. Step 4: Simplify right side
    390.40x = 161,015.02
  5. Step 5: Solve for x
    x = 161,015.02/390.40
  6. Step 6: Final answer
    x = 412.44

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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.