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Finding the Fourth Proportional to 357.95, 494.06 and 253.05

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Solution

The fourth proportional to 357.95, 494.06 and 253.05 is: 349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.95 : 494.06 = 253.05 : x
  2. Step 2: Convert to fraction form
    357.95/494.06 = 253.05/x
  3. Step 3: Cross multiply
    357.95x = 494.06 × 253.05
  4. Step 4: Simplify right side
    357.95x = 125,021.88
  5. Step 5: Solve for x
    x = 125,021.88/357.95
  6. Step 6: Final answer
    x = 349.27

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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.