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Finding the Fourth Proportional to 555.96, 833.94 and 459.58

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Solution

The fourth proportional to 555.96, 833.94 and 459.58 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.96 : 833.94 = 459.58 : x
  2. Step 2: Convert to fraction form
    555.96/833.94 = 459.58/x
  3. Step 3: Cross multiply
    555.96x = 833.94 × 459.58
  4. Step 4: Simplify right side
    555.96x = 383,262.15
  5. Step 5: Solve for x
    x = 383,262.15/555.96
  6. Step 6: Final answer
    x = 689.37

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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.