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Finding the Fourth Proportional to 404.60, 602.84 and 402.98

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Solution

The fourth proportional to 404.60, 602.84 and 402.98 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 602.84 = 402.98 : x
  2. Step 2: Convert to fraction form
    404.60/602.84 = 402.98/x
  3. Step 3: Cross multiply
    404.60x = 602.84 × 402.98
  4. Step 4: Simplify right side
    404.60x = 242,930.46
  5. Step 5: Solve for x
    x = 242,930.46/404.60
  6. Step 6: Final answer
    x = 600.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.