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Finding the Fourth Proportional to 360.65, 540.74 and 296.26

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Solution

The fourth proportional to 360.65, 540.74 and 296.26 is: 444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.65 : 540.74 = 296.26 : x
  2. Step 2: Convert to fraction form
    360.65/540.74 = 296.26/x
  3. Step 3: Cross multiply
    360.65x = 540.74 × 296.26
  4. Step 4: Simplify right side
    360.65x = 160,199.02
  5. Step 5: Solve for x
    x = 160,199.02/360.65
  6. Step 6: Final answer
    x = 444.19

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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.