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Finding the Fourth Proportional to 586.57, 879.98 and 201.77

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Solution

The fourth proportional to 586.57, 879.98 and 201.77 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.57 : 879.98 = 201.77 : x
  2. Step 2: Convert to fraction form
    586.57/879.98 = 201.77/x
  3. Step 3: Cross multiply
    586.57x = 879.98 × 201.77
  4. Step 4: Simplify right side
    586.57x = 177,552.56
  5. Step 5: Solve for x
    x = 177,552.56/586.57
  6. Step 6: Final answer
    x = 302.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.