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Finding the Fourth Proportional to 345.24, 476.46 and 228.60

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Solution

The fourth proportional to 345.24, 476.46 and 228.60 is: 315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 476.46 = 228.60 : x
  2. Step 2: Convert to fraction form
    345.24/476.46 = 228.60/x
  3. Step 3: Cross multiply
    345.24x = 476.46 × 228.60
  4. Step 4: Simplify right side
    345.24x = 108,918.76
  5. Step 5: Solve for x
    x = 108,918.76/345.24
  6. Step 6: Final answer
    x = 315.49

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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.