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Finding the Fourth Proportional to 573.01, 865.73 and 566.98

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Solution

The fourth proportional to 573.01, 865.73 and 566.98 is: 856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.01 : 865.73 = 566.98 : x
  2. Step 2: Convert to fraction form
    573.01/865.73 = 566.98/x
  3. Step 3: Cross multiply
    573.01x = 865.73 × 566.98
  4. Step 4: Simplify right side
    573.01x = 490,850.18
  5. Step 5: Solve for x
    x = 490,850.18/573.01
  6. Step 6: Final answer
    x = 856.62

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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.