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Finding the Fourth Proportional to 342.58, 473.39 and 259.55

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Solution

The fourth proportional to 342.58, 473.39 and 259.55 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 473.39 = 259.55 : x
  2. Step 2: Convert to fraction form
    342.58/473.39 = 259.55/x
  3. Step 3: Cross multiply
    342.58x = 473.39 × 259.55
  4. Step 4: Simplify right side
    342.58x = 122,868.37
  5. Step 5: Solve for x
    x = 122,868.37/342.58
  6. Step 6: Final answer
    x = 358.66

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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.