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Finding the Fourth Proportional to 427.22, 590.04 and 330.15

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Solution

The fourth proportional to 427.22, 590.04 and 330.15 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 590.04 = 330.15 : x
  2. Step 2: Convert to fraction form
    427.22/590.04 = 330.15/x
  3. Step 3: Cross multiply
    427.22x = 590.04 × 330.15
  4. Step 4: Simplify right side
    427.22x = 194,801.71
  5. Step 5: Solve for x
    x = 194,801.71/427.22
  6. Step 6: Final answer
    x = 455.98

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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.