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Finding the Fourth Proportional to 335.04, 461.80 and 290.59

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Solution

The fourth proportional to 335.04, 461.80 and 290.59 is: 400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 461.80 = 290.59 : x
  2. Step 2: Convert to fraction form
    335.04/461.80 = 290.59/x
  3. Step 3: Cross multiply
    335.04x = 461.80 × 290.59
  4. Step 4: Simplify right side
    335.04x = 134,193.67
  5. Step 5: Solve for x
    x = 134,193.67/335.04
  6. Step 6: Final answer
    x = 400.53

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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.