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Finding the Fourth Proportional to 402.95, 604.71 and 146.45

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Solution

The fourth proportional to 402.95, 604.71 and 146.45 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.95 : 604.71 = 146.45 : x
  2. Step 2: Convert to fraction form
    402.95/604.71 = 146.45/x
  3. Step 3: Cross multiply
    402.95x = 604.71 × 146.45
  4. Step 4: Simplify right side
    402.95x = 88,556.76
  5. Step 5: Solve for x
    x = 88,556.76/402.95
  6. Step 6: Final answer
    x = 219.77

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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.