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Finding the Fourth Proportional to 588.10, 811.59 and 322.55

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Solution

The fourth proportional to 588.10, 811.59 and 322.55 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.10 : 811.59 = 322.55 : x
  2. Step 2: Convert to fraction form
    588.10/811.59 = 322.55/x
  3. Step 3: Cross multiply
    588.10x = 811.59 × 322.55
  4. Step 4: Simplify right side
    588.10x = 261,775.37
  5. Step 5: Solve for x
    x = 261,775.37/588.10
  6. Step 6: Final answer
    x = 445.12

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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.