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Finding the Fourth Proportional to 776.32, 1,164.68 and 228.48

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Solution

The fourth proportional to 776.32, 1,164.68 and 228.48 is: 342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,164.68 = 228.48 : x
  2. Step 2: Convert to fraction form
    776.32/1,164.68 = 228.48/x
  3. Step 3: Cross multiply
    776.32x = 1,164.68 × 228.48
  4. Step 4: Simplify right side
    776.32x = 266,106.09
  5. Step 5: Solve for x
    x = 266,106.09/776.32
  6. Step 6: Final answer
    x = 342.78

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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.