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Finding the Fourth Proportional to 578.53, 798.56 and 366.04

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Solution

The fourth proportional to 578.53, 798.56 and 366.04 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 798.56 = 366.04 : x
  2. Step 2: Convert to fraction form
    578.53/798.56 = 366.04/x
  3. Step 3: Cross multiply
    578.53x = 798.56 × 366.04
  4. Step 4: Simplify right side
    578.53x = 292,304.90
  5. Step 5: Solve for x
    x = 292,304.90/578.53
  6. Step 6: Final answer
    x = 505.25

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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.