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Finding the Fourth Proportional to 298.61, 409.46 and 288.31

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Solution

The fourth proportional to 298.61, 409.46 and 288.31 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 409.46 = 288.31 : x
  2. Step 2: Convert to fraction form
    298.61/409.46 = 288.31/x
  3. Step 3: Cross multiply
    298.61x = 409.46 × 288.31
  4. Step 4: Simplify right side
    298.61x = 118,051.41
  5. Step 5: Solve for x
    x = 118,051.41/298.61
  6. Step 6: Final answer
    x = 395.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.