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Finding the Fourth Proportional to 421.94, 581.90 and 297.74

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Solution

The fourth proportional to 421.94, 581.90 and 297.74 is: 410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.94 : 581.90 = 297.74 : x
  2. Step 2: Convert to fraction form
    421.94/581.90 = 297.74/x
  3. Step 3: Cross multiply
    421.94x = 581.90 × 297.74
  4. Step 4: Simplify right side
    421.94x = 173,254.91
  5. Step 5: Solve for x
    x = 173,254.91/421.94
  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.