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Finding the Fourth Proportional to 298.23, 410.35 and 291.03

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Solution

The fourth proportional to 298.23, 410.35 and 291.03 is: 400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 410.35 = 291.03 : x
  2. Step 2: Convert to fraction form
    298.23/410.35 = 291.03/x
  3. Step 3: Cross multiply
    298.23x = 410.35 × 291.03
  4. Step 4: Simplify right side
    298.23x = 119,424.16
  5. Step 5: Solve for x
    x = 119,424.16/298.23
  6. Step 6: Final answer
    x = 400.44

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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.