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Finding the Fourth Proportional to 701.69, 1,050.91 and 354.47

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Solution

The fourth proportional to 701.69, 1,050.91 and 354.47 is: 530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.69 : 1,050.91 = 354.47 : x
  2. Step 2: Convert to fraction form
    701.69/1,050.91 = 354.47/x
  3. Step 3: Cross multiply
    701.69x = 1,050.91 × 354.47
  4. Step 4: Simplify right side
    701.69x = 372,509.93
  5. Step 5: Solve for x
    x = 372,509.93/701.69
  6. Step 6: Final answer
    x = 530.88

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