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Finding the Fourth Proportional to 578.56, 798.24 and 468.16

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Solution

The fourth proportional to 578.56, 798.24 and 468.16 is: 645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 798.24 = 468.16 : x
  2. Step 2: Convert to fraction form
    578.56/798.24 = 468.16/x
  3. Step 3: Cross multiply
    578.56x = 798.24 × 468.16
  4. Step 4: Simplify right side
    578.56x = 373,704.04
  5. Step 5: Solve for x
    x = 373,704.04/578.56
  6. Step 6: Final answer
    x = 645.92

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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.