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Finding the Fourth Proportional to 301.04, 452.47 and 285.85

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Solution

The fourth proportional to 301.04, 452.47 and 285.85 is: 429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.04 : 452.47 = 285.85 : x
  2. Step 2: Convert to fraction form
    301.04/452.47 = 285.85/x
  3. Step 3: Cross multiply
    301.04x = 452.47 × 285.85
  4. Step 4: Simplify right side
    301.04x = 129,338.55
  5. Step 5: Solve for x
    x = 129,338.55/301.04
  6. Step 6: Final answer
    x = 429.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.