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Finding the Fourth Proportional to 421.85, 581.49 and 297.14

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Solution

The fourth proportional to 421.85, 581.49 and 297.14 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 581.49 = 297.14 : x
  2. Step 2: Convert to fraction form
    421.85/581.49 = 297.14/x
  3. Step 3: Cross multiply
    421.85x = 581.49 × 297.14
  4. Step 4: Simplify right side
    421.85x = 172,783.94
  5. Step 5: Solve for x
    x = 172,783.94/421.85
  6. Step 6: Final answer
    x = 409.59

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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.