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Finding the Fourth Proportional to 294.16, 406.70 and 257.70

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Solution

The fourth proportional to 294.16, 406.70 and 257.70 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 406.70 = 257.70 : x
  2. Step 2: Convert to fraction form
    294.16/406.70 = 257.70/x
  3. Step 3: Cross multiply
    294.16x = 406.70 × 257.70
  4. Step 4: Simplify right side
    294.16x = 104,806.59
  5. Step 5: Solve for x
    x = 104,806.59/294.16
  6. Step 6: Final answer
    x = 356.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.