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Finding the Fourth Proportional to 357.76, 493.42 and 314

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Solution

The fourth proportional to 357.76, 493.42 and 314 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.76 : 493.42 = 314 : x
  2. Step 2: Convert to fraction form
    357.76/493.42 = 314/x
  3. Step 3: Cross multiply
    357.76x = 493.42 × 314
  4. Step 4: Simplify right side
    357.76x = 154,933.88
  5. Step 5: Solve for x
    x = 154,933.88/357.76
  6. Step 6: Final answer
    x = 433.07

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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.