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Finding the Fourth Proportional to 584.05, 805.95 and 335.34

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Solution

The fourth proportional to 584.05, 805.95 and 335.34 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.05 : 805.95 = 335.34 : x
  2. Step 2: Convert to fraction form
    584.05/805.95 = 335.34/x
  3. Step 3: Cross multiply
    584.05x = 805.95 × 335.34
  4. Step 4: Simplify right side
    584.05x = 270,263.24
  5. Step 5: Solve for x
    x = 270,263.24/584.05
  6. Step 6: Final answer
    x = 462.74

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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.