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Finding the Fourth Proportional to 346.60, 477.93 and 343.09

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Solution

The fourth proportional to 346.60, 477.93 and 343.09 is: 473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.60 : 477.93 = 343.09 : x
  2. Step 2: Convert to fraction form
    346.60/477.93 = 343.09/x
  3. Step 3: Cross multiply
    346.60x = 477.93 × 343.09
  4. Step 4: Simplify right side
    346.60x = 163,973.00
  5. Step 5: Solve for x
    x = 163,973.00/346.60
  6. Step 6: Final answer
    x = 473.09

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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.