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Finding the Fourth Proportional to 476.49, 713.95 and 293.49

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Solution

The fourth proportional to 476.49, 713.95 and 293.49 is: 439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.49 : 713.95 = 293.49 : x
  2. Step 2: Convert to fraction form
    476.49/713.95 = 293.49/x
  3. Step 3: Cross multiply
    476.49x = 713.95 × 293.49
  4. Step 4: Simplify right side
    476.49x = 209,535.72
  5. Step 5: Solve for x
    x = 209,535.72/476.49
  6. Step 6: Final answer
    x = 439.75

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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.