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Finding the Fourth Proportional to 571.44, 786.96 and 496.72

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Solution

The fourth proportional to 571.44, 786.96 and 496.72 is: 684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.44 : 786.96 = 496.72 : x
  2. Step 2: Convert to fraction form
    571.44/786.96 = 496.72/x
  3. Step 3: Cross multiply
    571.44x = 786.96 × 496.72
  4. Step 4: Simplify right side
    571.44x = 390,898.77
  5. Step 5: Solve for x
    x = 390,898.77/571.44
  6. Step 6: Final answer
    x = 684.06

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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.