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Finding the Fourth Proportional to 433.76, 598.19 and 335.34

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Solution

The fourth proportional to 433.76, 598.19 and 335.34 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 598.19 = 335.34 : x
  2. Step 2: Convert to fraction form
    433.76/598.19 = 335.34/x
  3. Step 3: Cross multiply
    433.76x = 598.19 × 335.34
  4. Step 4: Simplify right side
    433.76x = 200,595.36
  5. Step 5: Solve for x
    x = 200,595.36/433.76
  6. Step 6: Final answer
    x = 462.46

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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.