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Finding the Fourth Proportional to 501.05, 691.40 and 301.85

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Solution

The fourth proportional to 501.05, 691.40 and 301.85 is: 416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.05 : 691.40 = 301.85 : x
  2. Step 2: Convert to fraction form
    501.05/691.40 = 301.85/x
  3. Step 3: Cross multiply
    501.05x = 691.40 × 301.85
  4. Step 4: Simplify right side
    501.05x = 208,694.12
  5. Step 5: Solve for x
    x = 208,694.12/501.05
  6. Step 6: Final answer
    x = 416.52

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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.