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Finding the Fourth Proportional to 401.60, 602.48 and 228.35

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Solution

The fourth proportional to 401.60, 602.48 and 228.35 is: 342.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 602.48 = 228.35 : x
  2. Step 2: Convert to fraction form
    401.60/602.48 = 228.35/x
  3. Step 3: Cross multiply
    401.60x = 602.48 × 228.35
  4. Step 4: Simplify right side
    401.60x = 137,573.01
  5. Step 5: Solve for x
    x = 137,573.01/401.60
  6. Step 6: Final answer
    x = 342.57

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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.