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Finding the Fourth Proportional to 764.65, 1,146.16 and 302.23

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Solution

The fourth proportional to 764.65, 1,146.16 and 302.23 is: 453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.65 : 1,146.16 = 302.23 : x
  2. Step 2: Convert to fraction form
    764.65/1,146.16 = 302.23/x
  3. Step 3: Cross multiply
    764.65x = 1,146.16 × 302.23
  4. Step 4: Simplify right side
    764.65x = 346,406.17
  5. Step 5: Solve for x
    x = 346,406.17/764.65
  6. Step 6: Final answer
    x = 453.02

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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.