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Finding the Fourth Proportional to 588.17, 810.91 and 420.04

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Solution

The fourth proportional to 588.17, 810.91 and 420.04 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.17 : 810.91 = 420.04 : x
  2. Step 2: Convert to fraction form
    588.17/810.91 = 420.04/x
  3. Step 3: Cross multiply
    588.17x = 810.91 × 420.04
  4. Step 4: Simplify right side
    588.17x = 340,611.56
  5. Step 5: Solve for x
    x = 340,611.56/588.17
  6. Step 6: Final answer
    x = 579.11

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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.