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Finding the Fourth Proportional to 590.47, 884.27 and 297.59

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Solution

The fourth proportional to 590.47, 884.27 and 297.59 is: 445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.47 : 884.27 = 297.59 : x
  2. Step 2: Convert to fraction form
    590.47/884.27 = 297.59/x
  3. Step 3: Cross multiply
    590.47x = 884.27 × 297.59
  4. Step 4: Simplify right side
    590.47x = 263,146.23
  5. Step 5: Solve for x
    x = 263,146.23/590.47
  6. Step 6: Final answer
    x = 445.66

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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.