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Finding the Fourth Proportional to 471.86, 707.16 and 266.48

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Solution

The fourth proportional to 471.86, 707.16 and 266.48 is: 399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.86 : 707.16 = 266.48 : x
  2. Step 2: Convert to fraction form
    471.86/707.16 = 266.48/x
  3. Step 3: Cross multiply
    471.86x = 707.16 × 266.48
  4. Step 4: Simplify right side
    471.86x = 188,444.00
  5. Step 5: Solve for x
    x = 188,444.00/471.86
  6. Step 6: Final answer
    x = 399.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.