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Finding the Fourth Proportional to 501.26, 691.65 and 304.83

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Solution

The fourth proportional to 501.26, 691.65 and 304.83 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 691.65 = 304.83 : x
  2. Step 2: Convert to fraction form
    501.26/691.65 = 304.83/x
  3. Step 3: Cross multiply
    501.26x = 691.65 × 304.83
  4. Step 4: Simplify right side
    501.26x = 210,835.67
  5. Step 5: Solve for x
    x = 210,835.67/501.26
  6. Step 6: Final answer
    x = 420.62

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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.