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Finding the Fourth Proportional to 571.24, 786.90 and 541.96

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Solution

The fourth proportional to 571.24, 786.90 and 541.96 is: 746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 786.90 = 541.96 : x
  2. Step 2: Convert to fraction form
    571.24/786.90 = 541.96/x
  3. Step 3: Cross multiply
    571.24x = 786.90 × 541.96
  4. Step 4: Simplify right side
    571.24x = 426,468.32
  5. Step 5: Solve for x
    x = 426,468.32/571.24
  6. Step 6: Final answer
    x = 746.57

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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.