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Finding the Fourth Proportional to 583.74, 804.87 and 417.96

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Solution

The fourth proportional to 583.74, 804.87 and 417.96 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 804.87 = 417.96 : x
  2. Step 2: Convert to fraction form
    583.74/804.87 = 417.96/x
  3. Step 3: Cross multiply
    583.74x = 804.87 × 417.96
  4. Step 4: Simplify right side
    583.74x = 336,403.47
  5. Step 5: Solve for x
    x = 336,403.47/583.74
  6. Step 6: Final answer
    x = 576.29

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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.