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Finding the Fourth Proportional to 400.35, 599.78 and 348.38

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Solution

The fourth proportional to 400.35, 599.78 and 348.38 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 599.78 = 348.38 : x
  2. Step 2: Convert to fraction form
    400.35/599.78 = 348.38/x
  3. Step 3: Cross multiply
    400.35x = 599.78 × 348.38
  4. Step 4: Simplify right side
    400.35x = 208,946.62
  5. Step 5: Solve for x
    x = 208,946.62/400.35
  6. Step 6: Final answer
    x = 521.91

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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.