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Finding the Fourth Proportional to 303.90, 419.32 and 288.52

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Solution

The fourth proportional to 303.90, 419.32 and 288.52 is: 398.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.90 : 419.32 = 288.52 : x
  2. Step 2: Convert to fraction form
    303.90/419.32 = 288.52/x
  3. Step 3: Cross multiply
    303.90x = 419.32 × 288.52
  4. Step 4: Simplify right side
    303.90x = 120,982.21
  5. Step 5: Solve for x
    x = 120,982.21/303.90
  6. Step 6: Final answer
    x = 398.10

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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.