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Finding the Fourth Proportional to 578.32, 798.24 and 403.60

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Solution

The fourth proportional to 578.32, 798.24 and 403.60 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.32 : 798.24 = 403.60 : x
  2. Step 2: Convert to fraction form
    578.32/798.24 = 403.60/x
  3. Step 3: Cross multiply
    578.32x = 798.24 × 403.60
  4. Step 4: Simplify right side
    578.32x = 322,169.66
  5. Step 5: Solve for x
    x = 322,169.66/578.32
  6. Step 6: Final answer
    x = 557.08

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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.