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Finding the Fourth Proportional to 850.35, 1,275.23 and 302.45

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Solution

The fourth proportional to 850.35, 1,275.23 and 302.45 is: 453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.35 : 1,275.23 = 302.45 : x
  2. Step 2: Convert to fraction form
    850.35/1,275.23 = 302.45/x
  3. Step 3: Cross multiply
    850.35x = 1,275.23 × 302.45
  4. Step 4: Simplify right side
    850.35x = 385,697.26
  5. Step 5: Solve for x
    x = 385,697.26/850.35
  6. Step 6: Final answer
    x = 453.57

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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.