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Finding the Fourth Proportional to 500.66, 691.07 and 301.64

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Solution

The fourth proportional to 500.66, 691.07 and 301.64 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.66 : 691.07 = 301.64 : x
  2. Step 2: Convert to fraction form
    500.66/691.07 = 301.64/x
  3. Step 3: Cross multiply
    500.66x = 691.07 × 301.64
  4. Step 4: Simplify right side
    500.66x = 208,449.39
  5. Step 5: Solve for x
    x = 208,449.39/500.66
  6. Step 6: Final answer
    x = 416.35

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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.