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Finding the Fourth Proportional to 352.54, 525.83 and 298.06

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Solution

The fourth proportional to 352.54, 525.83 and 298.06 is: 444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.54 : 525.83 = 298.06 : x
  2. Step 2: Convert to fraction form
    352.54/525.83 = 298.06/x
  3. Step 3: Cross multiply
    352.54x = 525.83 × 298.06
  4. Step 4: Simplify right side
    352.54x = 156,728.89
  5. Step 5: Solve for x
    x = 156,728.89/352.54
  6. Step 6: Final answer
    x = 444.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.