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Finding the Fourth Proportional to 427.98, 590.31 and 297.03

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Solution

The fourth proportional to 427.98, 590.31 and 297.03 is: 409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.98 : 590.31 = 297.03 : x
  2. Step 2: Convert to fraction form
    427.98/590.31 = 297.03/x
  3. Step 3: Cross multiply
    427.98x = 590.31 × 297.03
  4. Step 4: Simplify right side
    427.98x = 175,339.78
  5. Step 5: Solve for x
    x = 175,339.78/427.98
  6. Step 6: Final answer
    x = 409.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.