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Finding the Fourth Proportional to 764.29, 1,146.98 and 302.08

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Solution

The fourth proportional to 764.29, 1,146.98 and 302.08 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.29 : 1,146.98 = 302.08 : x
  2. Step 2: Convert to fraction form
    764.29/1,146.98 = 302.08/x
  3. Step 3: Cross multiply
    764.29x = 1,146.98 × 302.08
  4. Step 4: Simplify right side
    764.29x = 346,479.72
  5. Step 5: Solve for x
    x = 346,479.72/764.29
  6. Step 6: Final answer
    x = 453.34

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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.