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Finding the Fourth Proportional to 685.76, 944.16 and 555.20

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Solution

The fourth proportional to 685.76, 944.16 and 555.20 is: 764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.76 : 944.16 = 555.20 : x
  2. Step 2: Convert to fraction form
    685.76/944.16 = 555.20/x
  3. Step 3: Cross multiply
    685.76x = 944.16 × 555.20
  4. Step 4: Simplify right side
    685.76x = 524,197.63
  5. Step 5: Solve for x
    x = 524,197.63/685.76
  6. Step 6: Final answer
    x = 764.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.