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Finding the Fourth Proportional to 764.46, 1,146.29 and 302.22

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Solution

The fourth proportional to 764.46, 1,146.29 and 302.22 is: 453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.46 : 1,146.29 = 302.22 : x
  2. Step 2: Convert to fraction form
    764.46/1,146.29 = 302.22/x
  3. Step 3: Cross multiply
    764.46x = 1,146.29 × 302.22
  4. Step 4: Simplify right side
    764.46x = 346,430.25
  5. Step 5: Solve for x
    x = 346,430.25/764.46
  6. Step 6: Final answer
    x = 453.17

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Why These Related Problems?

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