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Finding the Fourth Proportional to 578.08, 867.12 and 464.80

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Solution

The fourth proportional to 578.08, 867.12 and 464.80 is: 697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 867.12 = 464.80 : x
  2. Step 2: Convert to fraction form
    578.08/867.12 = 464.80/x
  3. Step 3: Cross multiply
    578.08x = 867.12 × 464.80
  4. Step 4: Simplify right side
    578.08x = 403,037.38
  5. Step 5: Solve for x
    x = 403,037.38/578.08
  6. Step 6: Final answer
    x = 697.20

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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.