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Finding the Fourth Proportional to 776.10, 1,164.32 and 256.22

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Solution

The fourth proportional to 776.10, 1,164.32 and 256.22 is: 384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.10 : 1,164.32 = 256.22 : x
  2. Step 2: Convert to fraction form
    776.10/1,164.32 = 256.22/x
  3. Step 3: Cross multiply
    776.10x = 1,164.32 × 256.22
  4. Step 4: Simplify right side
    776.10x = 298,322.07
  5. Step 5: Solve for x
    x = 298,322.07/776.10
  6. Step 6: Final answer
    x = 384.39

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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.