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Finding the Fourth Proportional to 313.48, 432.66 and 298.36

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Solution

The fourth proportional to 313.48, 432.66 and 298.36 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 432.66 = 298.36 : x
  2. Step 2: Convert to fraction form
    313.48/432.66 = 298.36/x
  3. Step 3: Cross multiply
    313.48x = 432.66 × 298.36
  4. Step 4: Simplify right side
    313.48x = 129,088.44
  5. Step 5: Solve for x
    x = 129,088.44/313.48
  6. Step 6: Final answer
    x = 411.79

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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.