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Finding the Fourth Proportional to 467.26, 700.17 and 364.30

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Solution

The fourth proportional to 467.26, 700.17 and 364.30 is: 545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.26 : 700.17 = 364.30 : x
  2. Step 2: Convert to fraction form
    467.26/700.17 = 364.30/x
  3. Step 3: Cross multiply
    467.26x = 700.17 × 364.30
  4. Step 4: Simplify right side
    467.26x = 255,071.93
  5. Step 5: Solve for x
    x = 255,071.93/467.26
  6. Step 6: Final answer
    x = 545.89

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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.