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Finding the Fourth Proportional to 578.32, 866.80 and 416.08

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Solution

The fourth proportional to 578.32, 866.80 and 416.08 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 866.80 = 416.08 : x
  2. Step 2: Convert to fraction form
    578.32/866.80 = 416.08/x
  3. Step 3: Cross multiply
    578.32x = 866.80 × 416.08
  4. Step 4: Simplify right side
    578.32x = 360,658.14
  5. Step 5: Solve for x
    x = 360,658.14/578.32
  6. Step 6: Final answer
    x = 623.63

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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.