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Finding the Fourth Proportional to 707.26, 1,060.47 and 290.66

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Solution

The fourth proportional to 707.26, 1,060.47 and 290.66 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 1,060.47 = 290.66 : x
  2. Step 2: Convert to fraction form
    707.26/1,060.47 = 290.66/x
  3. Step 3: Cross multiply
    707.26x = 1,060.47 × 290.66
  4. Step 4: Simplify right side
    707.26x = 308,236.21
  5. Step 5: Solve for x
    x = 308,236.21/707.26
  6. Step 6: Final answer
    x = 435.82

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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.