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Finding the Fourth Proportional to 555.20, 831.84 and 459.56

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Solution

The fourth proportional to 555.20, 831.84 and 459.56 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 831.84 = 459.56 : x
  2. Step 2: Convert to fraction form
    555.20/831.84 = 459.56/x
  3. Step 3: Cross multiply
    555.20x = 831.84 × 459.56
  4. Step 4: Simplify right side
    555.20x = 382,280.39
  5. Step 5: Solve for x
    x = 382,280.39/555.20
  6. Step 6: Final answer
    x = 688.55

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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.