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Finding the Fourth Proportional to 346.35, 477.75 and 228.36

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Solution

The fourth proportional to 346.35, 477.75 and 228.36 is: 315.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.35 : 477.75 = 228.36 : x
  2. Step 2: Convert to fraction form
    346.35/477.75 = 228.36/x
  3. Step 3: Cross multiply
    346.35x = 477.75 × 228.36
  4. Step 4: Simplify right side
    346.35x = 109,098.99
  5. Step 5: Solve for x
    x = 109,098.99/346.35
  6. Step 6: Final answer
    x = 315.00

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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.