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Finding the Fourth Proportional to 713.02, 1,069.28 and 302.19

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Solution

The fourth proportional to 713.02, 1,069.28 and 302.19 is: 453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.02 : 1,069.28 = 302.19 : x
  2. Step 2: Convert to fraction form
    713.02/1,069.28 = 302.19/x
  3. Step 3: Cross multiply
    713.02x = 1,069.28 × 302.19
  4. Step 4: Simplify right side
    713.02x = 323,125.72
  5. Step 5: Solve for x
    x = 323,125.72/713.02
  6. Step 6: Final answer
    x = 453.18

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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.