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Finding the Fourth Proportional to 776, 1,164.16 and 256.16

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Solution

The fourth proportional to 776, 1,164.16 and 256.16 is: 384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    776 : 1,164.16 = 256.16 : x
  2. Step 2: Convert to fraction form
    776/1,164.16 = 256.16/x
  3. Step 3: Cross multiply
    776x = 1,164.16 × 256.16
  4. Step 4: Simplify right side
    776x = 298,211.23
  5. Step 5: Solve for x
    x = 298,211.23/776
  6. Step 6: Final answer
    x = 384.29

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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.