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Finding the Fourth Proportional to 590.39, 885.86 and 302.03

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Solution

The fourth proportional to 590.39, 885.86 and 302.03 is: 453.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.39 : 885.86 = 302.03 : x
  2. Step 2: Convert to fraction form
    590.39/885.86 = 302.03/x
  3. Step 3: Cross multiply
    590.39x = 885.86 × 302.03
  4. Step 4: Simplify right side
    590.39x = 267,556.30
  5. Step 5: Solve for x
    x = 267,556.30/590.39
  6. Step 6: Final answer
    x = 453.19

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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.