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Finding the Fourth Proportional to 583.67, 804.64 and 417.62

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Solution

The fourth proportional to 583.67, 804.64 and 417.62 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 804.64 = 417.62 : x
  2. Step 2: Convert to fraction form
    583.67/804.64 = 417.62/x
  3. Step 3: Cross multiply
    583.67x = 804.64 × 417.62
  4. Step 4: Simplify right side
    583.67x = 336,033.76
  5. Step 5: Solve for x
    x = 336,033.76/583.67
  6. Step 6: Final answer
    x = 575.73

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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.