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Finding the Fourth Proportional to 342.96, 473.40 and 301.56

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Solution

The fourth proportional to 342.96, 473.40 and 301.56 is: 416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 473.40 = 301.56 : x
  2. Step 2: Convert to fraction form
    342.96/473.40 = 301.56/x
  3. Step 3: Cross multiply
    342.96x = 473.40 × 301.56
  4. Step 4: Simplify right side
    342.96x = 142,758.50
  5. Step 5: Solve for x
    x = 142,758.50/342.96
  6. Step 6: Final answer
    x = 416.25

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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.