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Finding the Fourth Proportional to 583.98, 805.88 and 335.28

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Solution

The fourth proportional to 583.98, 805.88 and 335.28 is: 462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.98 : 805.88 = 335.28 : x
  2. Step 2: Convert to fraction form
    583.98/805.88 = 335.28/x
  3. Step 3: Cross multiply
    583.98x = 805.88 × 335.28
  4. Step 4: Simplify right side
    583.98x = 270,193.77
  5. Step 5: Solve for x
    x = 270,193.77/583.98
  6. Step 6: Final answer
    x = 462.68

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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.