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Finding the Fourth Proportional to 342.71, 469.39 and 322.76

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Solution

The fourth proportional to 342.71, 469.39 and 322.76 is: 442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.71 : 469.39 = 322.76 : x
  2. Step 2: Convert to fraction form
    342.71/469.39 = 322.76/x
  3. Step 3: Cross multiply
    342.71x = 469.39 × 322.76
  4. Step 4: Simplify right side
    342.71x = 151,500.32
  5. Step 5: Solve for x
    x = 151,500.32/342.71
  6. Step 6: Final answer
    x = 442.07

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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.