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Finding the Fourth Proportional to 508.04, 701.22 and 298.23

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Solution

The fourth proportional to 508.04, 701.22 and 298.23 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.04 : 701.22 = 298.23 : x
  2. Step 2: Convert to fraction form
    508.04/701.22 = 298.23/x
  3. Step 3: Cross multiply
    508.04x = 701.22 × 298.23
  4. Step 4: Simplify right side
    508.04x = 209,125.60
  5. Step 5: Solve for x
    x = 209,125.60/508.04
  6. Step 6: Final answer
    x = 411.63

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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.