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Finding the Fourth Proportional to 578.96, 800.01 and 412.88

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Solution

The fourth proportional to 578.96, 800.01 and 412.88 is: 570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.96 : 800.01 = 412.88 : x
  2. Step 2: Convert to fraction form
    578.96/800.01 = 412.88/x
  3. Step 3: Cross multiply
    578.96x = 800.01 × 412.88
  4. Step 4: Simplify right side
    578.96x = 330,307.95
  5. Step 5: Solve for x
    x = 330,307.95/578.96
  6. Step 6: Final answer
    x = 570.52

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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.