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Finding the Fourth Proportional to 467.68, 700.98 and 364.20

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Solution

The fourth proportional to 467.68, 700.98 and 364.20 is: 545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 700.98 = 364.20 : x
  2. Step 2: Convert to fraction form
    467.68/700.98 = 364.20/x
  3. Step 3: Cross multiply
    467.68x = 700.98 × 364.20
  4. Step 4: Simplify right side
    467.68x = 255,296.92
  5. Step 5: Solve for x
    x = 255,296.92/467.68
  6. Step 6: Final answer
    x = 545.88

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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.