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Finding the Fourth Proportional to 583.96, 804.12 and 417.88

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Solution

The fourth proportional to 583.96, 804.12 and 417.88 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.96 : 804.12 = 417.88 : x
  2. Step 2: Convert to fraction form
    583.96/804.12 = 417.88/x
  3. Step 3: Cross multiply
    583.96x = 804.12 × 417.88
  4. Step 4: Simplify right side
    583.96x = 336,029.42
  5. Step 5: Solve for x
    x = 336,029.42/583.96
  6. Step 6: Final answer
    x = 575.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.