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Finding the Fourth Proportional to 420.19, 580.88 and 381.74

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Solution

The fourth proportional to 420.19, 580.88 and 381.74 is: 527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.19 : 580.88 = 381.74 : x
  2. Step 2: Convert to fraction form
    420.19/580.88 = 381.74/x
  3. Step 3: Cross multiply
    420.19x = 580.88 × 381.74
  4. Step 4: Simplify right side
    420.19x = 221,746.30
  5. Step 5: Solve for x
    x = 221,746.30/420.19
  6. Step 6: Final answer
    x = 527.73

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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.