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Finding the Fourth Proportional to 499.04, 688.77 and 380.82

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Solution

The fourth proportional to 499.04, 688.77 and 380.82 is: 525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.04 : 688.77 = 380.82 : x
  2. Step 2: Convert to fraction form
    499.04/688.77 = 380.82/x
  3. Step 3: Cross multiply
    499.04x = 688.77 × 380.82
  4. Step 4: Simplify right side
    499.04x = 262,297.69
  5. Step 5: Solve for x
    x = 262,297.69/499.04
  6. Step 6: Final answer
    x = 525.60

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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.