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Finding the Fourth Proportional to 377.14, 519.97 and 357.57

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Solution

The fourth proportional to 377.14, 519.97 and 357.57 is: 492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 519.97 = 357.57 : x
  2. Step 2: Convert to fraction form
    377.14/519.97 = 357.57/x
  3. Step 3: Cross multiply
    377.14x = 519.97 × 357.57
  4. Step 4: Simplify right side
    377.14x = 185,925.67
  5. Step 5: Solve for x
    x = 185,925.67/377.14
  6. Step 6: Final answer
    x = 492.99

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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.