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Finding the Fourth Proportional to 555.10, 830.81 and 494.35

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Solution

The fourth proportional to 555.10, 830.81 and 494.35 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.10 : 830.81 = 494.35 : x
  2. Step 2: Convert to fraction form
    555.10/830.81 = 494.35/x
  3. Step 3: Cross multiply
    555.10x = 830.81 × 494.35
  4. Step 4: Simplify right side
    555.10x = 410,708.01
  5. Step 5: Solve for x
    x = 410,708.01/555.10
  6. Step 6: Final answer
    x = 739.89

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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.