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Finding the Fourth Proportional to 590.09, 813.35 and 471.86

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Solution

The fourth proportional to 590.09, 813.35 and 471.86 is: 650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 813.35 = 471.86 : x
  2. Step 2: Convert to fraction form
    590.09/813.35 = 471.86/x
  3. Step 3: Cross multiply
    590.09x = 813.35 × 471.86
  4. Step 4: Simplify right side
    590.09x = 383,784.44
  5. Step 5: Solve for x
    x = 383,784.44/590.09
  6. Step 6: Final answer
    x = 650.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.