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Finding the Fourth Proportional to 701.36, 1,050.63 and 353.67

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Solution

The fourth proportional to 701.36, 1,050.63 and 353.67 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.36 : 1,050.63 = 353.67 : x
  2. Step 2: Convert to fraction form
    701.36/1,050.63 = 353.67/x
  3. Step 3: Cross multiply
    701.36x = 1,050.63 × 353.67
  4. Step 4: Simplify right side
    701.36x = 371,576.31
  5. Step 5: Solve for x
    x = 371,576.31/701.36
  6. Step 6: Final answer
    x = 529.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.