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Finding the Fourth Proportional to 572.30, 788.85 and 406.26

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Solution

The fourth proportional to 572.30, 788.85 and 406.26 is: 559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.30 : 788.85 = 406.26 : x
  2. Step 2: Convert to fraction form
    572.30/788.85 = 406.26/x
  3. Step 3: Cross multiply
    572.30x = 788.85 × 406.26
  4. Step 4: Simplify right side
    572.30x = 320,478.20
  5. Step 5: Solve for x
    x = 320,478.20/572.30
  6. Step 6: Final answer
    x = 559.98

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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.