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Finding the Fourth Proportional to 571.14, 788.34 and 405.72

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Solution

The fourth proportional to 571.14, 788.34 and 405.72 is: 560.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 788.34 = 405.72 : x
  2. Step 2: Convert to fraction form
    571.14/788.34 = 405.72/x
  3. Step 3: Cross multiply
    571.14x = 788.34 × 405.72
  4. Step 4: Simplify right side
    571.14x = 319,845.30
  5. Step 5: Solve for x
    x = 319,845.30/571.14
  6. Step 6: Final answer
    x = 560.01

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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.