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Finding the Fourth Proportional to 611.37, 842.65 and 471.24

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Solution

The fourth proportional to 611.37, 842.65 and 471.24 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 842.65 = 471.24 : x
  2. Step 2: Convert to fraction form
    611.37/842.65 = 471.24/x
  3. Step 3: Cross multiply
    611.37x = 842.65 × 471.24
  4. Step 4: Simplify right side
    611.37x = 397,089.21
  5. Step 5: Solve for x
    x = 397,089.21/611.37
  6. Step 6: Final answer
    x = 649.51

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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.