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Finding the Fourth Proportional to 590.42, 885.63 and 225.12

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Solution

The fourth proportional to 590.42, 885.63 and 225.12 is: 337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.42 : 885.63 = 225.12 : x
  2. Step 2: Convert to fraction form
    590.42/885.63 = 225.12/x
  3. Step 3: Cross multiply
    590.42x = 885.63 × 225.12
  4. Step 4: Simplify right side
    590.42x = 199,373.03
  5. Step 5: Solve for x
    x = 199,373.03/590.42
  6. Step 6: Final answer
    x = 337.68

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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.