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Finding the Fourth Proportional to 555.72, 766.17 and 455.76

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Solution

The fourth proportional to 555.72, 766.17 and 455.76 is: 628.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.72 : 766.17 = 455.76 : x
  2. Step 2: Convert to fraction form
    555.72/766.17 = 455.76/x
  3. Step 3: Cross multiply
    555.72x = 766.17 × 455.76
  4. Step 4: Simplify right side
    555.72x = 349,189.64
  5. Step 5: Solve for x
    x = 349,189.64/555.72
  6. Step 6: Final answer
    x = 628.36

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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.