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Finding the Fourth Proportional to 588.74, 883.89 and 459.59

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Solution

The fourth proportional to 588.74, 883.89 and 459.59 is: 689.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 883.89 = 459.59 : x
  2. Step 2: Convert to fraction form
    588.74/883.89 = 459.59/x
  3. Step 3: Cross multiply
    588.74x = 883.89 × 459.59
  4. Step 4: Simplify right side
    588.74x = 406,222.59
  5. Step 5: Solve for x
    x = 406,222.59/588.74
  6. Step 6: Final answer
    x = 689.98

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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.