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Finding the Fourth Proportional to 555.82, 831.29 and 453.76

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Solution

The fourth proportional to 555.82, 831.29 and 453.76 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.82 : 831.29 = 453.76 : x
  2. Step 2: Convert to fraction form
    555.82/831.29 = 453.76/x
  3. Step 3: Cross multiply
    555.82x = 831.29 × 453.76
  4. Step 4: Simplify right side
    555.82x = 377,201.80
  5. Step 5: Solve for x
    x = 377,201.80/555.82
  6. Step 6: Final answer
    x = 678.64

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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.