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Finding the Fourth Proportional to 590.48, 884.94 and 297.98

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Solution

The fourth proportional to 590.48, 884.94 and 297.98 is: 446.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.48 : 884.94 = 297.98 : x
  2. Step 2: Convert to fraction form
    590.48/884.94 = 297.98/x
  3. Step 3: Cross multiply
    590.48x = 884.94 × 297.98
  4. Step 4: Simplify right side
    590.48x = 263,694.42
  5. Step 5: Solve for x
    x = 263,694.42/590.48
  6. Step 6: Final answer
    x = 446.58

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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.