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Finding the Fourth Proportional to 572.75, 859.30 and 406.30

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Solution

The fourth proportional to 572.75, 859.30 and 406.30 is: 609.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 859.30 = 406.30 : x
  2. Step 2: Convert to fraction form
    572.75/859.30 = 406.30/x
  3. Step 3: Cross multiply
    572.75x = 859.30 × 406.30
  4. Step 4: Simplify right side
    572.75x = 349,127.26
  5. Step 5: Solve for x
    x = 349,127.26/572.75
  6. Step 6: Final answer
    x = 609.56

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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.