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Finding the Fourth Proportional to 579.18, 872.21 and 522.08

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Solution

The fourth proportional to 579.18, 872.21 and 522.08 is: 786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.18 : 872.21 = 522.08 : x
  2. Step 2: Convert to fraction form
    579.18/872.21 = 522.08/x
  3. Step 3: Cross multiply
    579.18x = 872.21 × 522.08
  4. Step 4: Simplify right side
    579.18x = 455,360.34
  5. Step 5: Solve for x
    x = 455,360.34/579.18
  6. Step 6: Final answer
    x = 786.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.