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Finding the Fourth Proportional to 589.89, 883.62 and 473.70

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Solution

The fourth proportional to 589.89, 883.62 and 473.70 is: 709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.89 : 883.62 = 473.70 : x
  2. Step 2: Convert to fraction form
    589.89/883.62 = 473.70/x
  3. Step 3: Cross multiply
    589.89x = 883.62 × 473.70
  4. Step 4: Simplify right side
    589.89x = 418,570.79
  5. Step 5: Solve for x
    x = 418,570.79/589.89
  6. Step 6: Final answer
    x = 709.57

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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.