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Finding the Fourth Proportional to 342.98, 472.78 and 259.76

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Solution

The fourth proportional to 342.98, 472.78 and 259.76 is: 358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 472.78 = 259.76 : x
  2. Step 2: Convert to fraction form
    342.98/472.78 = 259.76/x
  3. Step 3: Cross multiply
    342.98x = 472.78 × 259.76
  4. Step 4: Simplify right side
    342.98x = 122,806.32
  5. Step 5: Solve for x
    x = 122,806.32/342.98
  6. Step 6: Final answer
    x = 358.05

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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.