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Finding the Fourth Proportional to 713.31, 1,069.35 and 302.23

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Solution

The fourth proportional to 713.31, 1,069.35 and 302.23 is: 453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.31 : 1,069.35 = 302.23 : x
  2. Step 2: Convert to fraction form
    713.31/1,069.35 = 302.23/x
  3. Step 3: Cross multiply
    713.31x = 1,069.35 × 302.23
  4. Step 4: Simplify right side
    713.31x = 323,189.65
  5. Step 5: Solve for x
    x = 323,189.65/713.31
  6. Step 6: Final answer
    x = 453.08

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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.