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Finding the Fourth Proportional to 402.40, 599.54 and 396.77

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Solution

The fourth proportional to 402.40, 599.54 and 396.77 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.40 : 599.54 = 396.77 : x
  2. Step 2: Convert to fraction form
    402.40/599.54 = 396.77/x
  3. Step 3: Cross multiply
    402.40x = 599.54 × 396.77
  4. Step 4: Simplify right side
    402.40x = 237,874.50
  5. Step 5: Solve for x
    x = 237,874.50/402.40
  6. Step 6: Final answer
    x = 591.14

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Why These Related Problems?

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