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Finding the Fourth Proportional to 590.69, 884.97 and 417.08

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Solution

The fourth proportional to 590.69, 884.97 and 417.08 is: 624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 884.97 = 417.08 : x
  2. Step 2: Convert to fraction form
    590.69/884.97 = 417.08/x
  3. Step 3: Cross multiply
    590.69x = 884.97 × 417.08
  4. Step 4: Simplify right side
    590.69x = 369,098.86
  5. Step 5: Solve for x
    x = 369,098.86/590.69
  6. Step 6: Final answer
    x = 624.87

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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.