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Finding the Fourth Proportional to 435.92, 600.84 and 304.76

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Solution

The fourth proportional to 435.92, 600.84 and 304.76 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 600.84 = 304.76 : x
  2. Step 2: Convert to fraction form
    435.92/600.84 = 304.76/x
  3. Step 3: Cross multiply
    435.92x = 600.84 × 304.76
  4. Step 4: Simplify right side
    435.92x = 183,112.00
  5. Step 5: Solve for x
    x = 183,112.00/435.92
  6. Step 6: Final answer
    x = 420.06

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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.