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Finding the Fourth Proportional to 583.85, 806.10 and 406.76

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Solution

The fourth proportional to 583.85, 806.10 and 406.76 is: 561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.85 : 806.10 = 406.76 : x
  2. Step 2: Convert to fraction form
    583.85/806.10 = 406.76/x
  3. Step 3: Cross multiply
    583.85x = 806.10 × 406.76
  4. Step 4: Simplify right side
    583.85x = 327,889.24
  5. Step 5: Solve for x
    x = 327,889.24/583.85
  6. Step 6: Final answer
    x = 561.60

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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.