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Finding the Fourth Proportional to 357.14, 493.08 and 291.80

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Solution

The fourth proportional to 357.14, 493.08 and 291.80 is: 402.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.14 : 493.08 = 291.80 : x
  2. Step 2: Convert to fraction form
    357.14/493.08 = 291.80/x
  3. Step 3: Cross multiply
    357.14x = 493.08 × 291.80
  4. Step 4: Simplify right side
    357.14x = 143,880.74
  5. Step 5: Solve for x
    x = 143,880.74/357.14
  6. Step 6: Final answer
    x = 402.87

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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.