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Finding the Fourth Proportional to 590.70, 884.70 and 282.77

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Solution

The fourth proportional to 590.70, 884.70 and 282.77 is: 423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.70 : 884.70 = 282.77 : x
  2. Step 2: Convert to fraction form
    590.70/884.70 = 282.77/x
  3. Step 3: Cross multiply
    590.70x = 884.70 × 282.77
  4. Step 4: Simplify right side
    590.70x = 250,168.79
  5. Step 5: Solve for x
    x = 250,168.79/590.70
  6. Step 6: Final answer
    x = 423.51

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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.