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Finding the Fourth Proportional to 713.71, 1,070.57 and 302.79

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Solution

The fourth proportional to 713.71, 1,070.57 and 302.79 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.71 : 1,070.57 = 302.79 : x
  2. Step 2: Convert to fraction form
    713.71/1,070.57 = 302.79/x
  3. Step 3: Cross multiply
    713.71x = 1,070.57 × 302.79
  4. Step 4: Simplify right side
    713.71x = 324,154.94
  5. Step 5: Solve for x
    x = 324,154.94/713.71
  6. Step 6: Final answer
    x = 454.18

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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.