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Finding the Fourth Proportional to 345.63, 476.60 and 228.99

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Solution

The fourth proportional to 345.63, 476.60 and 228.99 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.63 : 476.60 = 228.99 : x
  2. Step 2: Convert to fraction form
    345.63/476.60 = 228.99/x
  3. Step 3: Cross multiply
    345.63x = 476.60 × 228.99
  4. Step 4: Simplify right side
    345.63x = 109,135.49
  5. Step 5: Solve for x
    x = 109,135.49/345.63
  6. Step 6: Final answer
    x = 315.76

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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.