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Finding the Fourth Proportional to 342.96, 473.02 and 259.93

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Solution

The fourth proportional to 342.96, 473.02 and 259.93 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 473.02 = 259.93 : x
  2. Step 2: Convert to fraction form
    342.96/473.02 = 259.93/x
  3. Step 3: Cross multiply
    342.96x = 473.02 × 259.93
  4. Step 4: Simplify right side
    342.96x = 122,952.09
  5. Step 5: Solve for x
    x = 122,952.09/342.96
  6. Step 6: Final answer
    x = 358.50

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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.