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Finding the Fourth Proportional to 421.68, 581.91 and 297.55

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Solution

The fourth proportional to 421.68, 581.91 and 297.55 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.68 : 581.91 = 297.55 : x
  2. Step 2: Convert to fraction form
    421.68/581.91 = 297.55/x
  3. Step 3: Cross multiply
    421.68x = 581.91 × 297.55
  4. Step 4: Simplify right side
    421.68x = 173,148.94
  5. Step 5: Solve for x
    x = 173,148.94/421.68
  6. Step 6: Final answer
    x = 410.62

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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.