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Finding the Fourth Proportional to 358.06, 494.35 and 275.01

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Solution

The fourth proportional to 358.06, 494.35 and 275.01 is: 379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 494.35 = 275.01 : x
  2. Step 2: Convert to fraction form
    358.06/494.35 = 275.01/x
  3. Step 3: Cross multiply
    358.06x = 494.35 × 275.01
  4. Step 4: Simplify right side
    358.06x = 135,952.16
  5. Step 5: Solve for x
    x = 135,952.16/358.06
  6. Step 6: Final answer
    x = 379.70

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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.