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Finding the Fourth Proportional to 707.28, 1,060.91 and 290.73

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Solution

The fourth proportional to 707.28, 1,060.91 and 290.73 is: 436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.28 : 1,060.91 = 290.73 : x
  2. Step 2: Convert to fraction form
    707.28/1,060.91 = 290.73/x
  3. Step 3: Cross multiply
    707.28x = 1,060.91 × 290.73
  4. Step 4: Simplify right side
    707.28x = 308,434.02
  5. Step 5: Solve for x
    x = 308,434.02/707.28
  6. Step 6: Final answer
    x = 436.08

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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.