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Finding the Fourth Proportional to 583.50, 873.74 and 566.19

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Solution

The fourth proportional to 583.50, 873.74 and 566.19 is: 847.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.50 : 873.74 = 566.19 : x
  2. Step 2: Convert to fraction form
    583.50/873.74 = 566.19/x
  3. Step 3: Cross multiply
    583.50x = 873.74 × 566.19
  4. Step 4: Simplify right side
    583.50x = 494,701.08
  5. Step 5: Solve for x
    x = 494,701.08/583.50
  6. Step 6: Final answer
    x = 847.81

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Why These Related Problems?

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