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Finding the Fourth Proportional to 420.74, 580.40 and 342.15

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Solution

The fourth proportional to 420.74, 580.40 and 342.15 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.74 : 580.40 = 342.15 : x
  2. Step 2: Convert to fraction form
    420.74/580.40 = 342.15/x
  3. Step 3: Cross multiply
    420.74x = 580.40 × 342.15
  4. Step 4: Simplify right side
    420.74x = 198,583.86
  5. Step 5: Solve for x
    x = 198,583.86/420.74
  6. Step 6: Final answer
    x = 471.99

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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.