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Finding the Fourth Proportional to 624.94, 861.82 and 590.32

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Solution

The fourth proportional to 624.94, 861.82 and 590.32 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.94 : 861.82 = 590.32 : x
  2. Step 2: Convert to fraction form
    624.94/861.82 = 590.32/x
  3. Step 3: Cross multiply
    624.94x = 861.82 × 590.32
  4. Step 4: Simplify right side
    624.94x = 508,743.80
  5. Step 5: Solve for x
    x = 508,743.80/624.94
  6. Step 6: Final answer
    x = 814.07

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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.