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Finding the Fourth Proportional to 404.60, 559.02 and 380.24

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Solution

The fourth proportional to 404.60, 559.02 and 380.24 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 559.02 = 380.24 : x
  2. Step 2: Convert to fraction form
    404.60/559.02 = 380.24/x
  3. Step 3: Cross multiply
    404.60x = 559.02 × 380.24
  4. Step 4: Simplify right side
    404.60x = 212,561.76
  5. Step 5: Solve for x
    x = 212,561.76/404.60
  6. Step 6: Final answer
    x = 525.36

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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.