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Finding the Fourth Proportional to 411.70, 568.35 and 322.98

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Solution

The fourth proportional to 411.70, 568.35 and 322.98 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.70 : 568.35 = 322.98 : x
  2. Step 2: Convert to fraction form
    411.70/568.35 = 322.98/x
  3. Step 3: Cross multiply
    411.70x = 568.35 × 322.98
  4. Step 4: Simplify right side
    411.70x = 183,565.68
  5. Step 5: Solve for x
    x = 183,565.68/411.70
  6. Step 6: Final answer
    x = 445.87

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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.