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Finding the Fourth Proportional to 590.58, 885.32 and 225.12

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Solution

The fourth proportional to 590.58, 885.32 and 225.12 is: 337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 885.32 = 225.12 : x
  2. Step 2: Convert to fraction form
    590.58/885.32 = 225.12/x
  3. Step 3: Cross multiply
    590.58x = 885.32 × 225.12
  4. Step 4: Simplify right side
    590.58x = 199,303.24
  5. Step 5: Solve for x
    x = 199,303.24/590.58
  6. Step 6: Final answer
    x = 337.47

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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.