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Finding the Fourth Proportional to 337.60, 505.60 and 228.80

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Solution

The fourth proportional to 337.60, 505.60 and 228.80 is: 342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.60 : 505.60 = 228.80 : x
  2. Step 2: Convert to fraction form
    337.60/505.60 = 228.80/x
  3. Step 3: Cross multiply
    337.60x = 505.60 × 228.80
  4. Step 4: Simplify right side
    337.60x = 115,681.28
  5. Step 5: Solve for x
    x = 115,681.28/337.60
  6. Step 6: Final answer
    x = 342.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.