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Finding the Fourth Proportional to 342.15, 469.10 and 335.98

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Solution

The fourth proportional to 342.15, 469.10 and 335.98 is: 460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.15 : 469.10 = 335.98 : x
  2. Step 2: Convert to fraction form
    342.15/469.10 = 335.98/x
  3. Step 3: Cross multiply
    342.15x = 469.10 × 335.98
  4. Step 4: Simplify right side
    342.15x = 157,608.22
  5. Step 5: Solve for x
    x = 157,608.22/342.15
  6. Step 6: Final answer
    x = 460.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.