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Finding the Fourth Proportional to 713.16, 1,069.53 and 302.31

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Solution

The fourth proportional to 713.16, 1,069.53 and 302.31 is: 453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 1,069.53 = 302.31 : x
  2. Step 2: Convert to fraction form
    713.16/1,069.53 = 302.31/x
  3. Step 3: Cross multiply
    713.16x = 1,069.53 × 302.31
  4. Step 4: Simplify right side
    713.16x = 323,329.61
  5. Step 5: Solve for x
    x = 323,329.61/713.16
  6. Step 6: Final answer
    x = 453.38

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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.