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Finding the Fourth Proportional to 588.01, 811.45 and 322.45

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Solution

The fourth proportional to 588.01, 811.45 and 322.45 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.01 : 811.45 = 322.45 : x
  2. Step 2: Convert to fraction form
    588.01/811.45 = 322.45/x
  3. Step 3: Cross multiply
    588.01x = 811.45 × 322.45
  4. Step 4: Simplify right side
    588.01x = 261,650.43
  5. Step 5: Solve for x
    x = 261,650.43/588.01
  6. Step 6: Final answer
    x = 444.98

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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.