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Finding the Fourth Proportional to 427.91, 590.96 and 297.50

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Solution

The fourth proportional to 427.91, 590.96 and 297.50 is: 410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.91 : 590.96 = 297.50 : x
  2. Step 2: Convert to fraction form
    427.91/590.96 = 297.50/x
  3. Step 3: Cross multiply
    427.91x = 590.96 × 297.50
  4. Step 4: Simplify right side
    427.91x = 175,808.39
  5. Step 5: Solve for x
    x = 175,808.39/427.91
  6. Step 6: Final answer
    x = 410.86

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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.