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Finding the Fourth Proportional to 590.32, 884.48 and 404.96

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Solution

The fourth proportional to 590.32, 884.48 and 404.96 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.32 : 884.48 = 404.96 : x
  2. Step 2: Convert to fraction form
    590.32/884.48 = 404.96/x
  3. Step 3: Cross multiply
    590.32x = 884.48 × 404.96
  4. Step 4: Simplify right side
    590.32x = 358,179.02
  5. Step 5: Solve for x
    x = 358,179.02/590.32
  6. Step 6: Final answer
    x = 606.75

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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.