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Finding the Fourth Proportional to 500.90, 690.81 and 402.62

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Solution

The fourth proportional to 500.90, 690.81 and 402.62 is: 555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 690.81 = 402.62 : x
  2. Step 2: Convert to fraction form
    500.90/690.81 = 402.62/x
  3. Step 3: Cross multiply
    500.90x = 690.81 × 402.62
  4. Step 4: Simplify right side
    500.90x = 278,133.92
  5. Step 5: Solve for x
    x = 278,133.92/500.90
  6. Step 6: Final answer
    x = 555.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.