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Finding the Fourth Proportional to 471.76, 707.64 and 228.24

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Solution

The fourth proportional to 471.76, 707.64 and 228.24 is: 342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 707.64 = 228.24 : x
  2. Step 2: Convert to fraction form
    471.76/707.64 = 228.24/x
  3. Step 3: Cross multiply
    471.76x = 707.64 × 228.24
  4. Step 4: Simplify right side
    471.76x = 161,511.75
  5. Step 5: Solve for x
    x = 161,511.75/471.76
  6. Step 6: Final answer
    x = 342.36

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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.