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Finding the Fourth Proportional to 590.53, 885.60 and 215.23

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Solution

The fourth proportional to 590.53, 885.60 and 215.23 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.53 : 885.60 = 215.23 : x
  2. Step 2: Convert to fraction form
    590.53/885.60 = 215.23/x
  3. Step 3: Cross multiply
    590.53x = 885.60 × 215.23
  4. Step 4: Simplify right side
    590.53x = 190,609.90
  5. Step 5: Solve for x
    x = 190,609.90/590.53
  6. Step 6: Final answer
    x = 322.78

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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.