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Finding the Fourth Proportional to 383.66, 574.97 and 210.07

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Solution

The fourth proportional to 383.66, 574.97 and 210.07 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.66 : 574.97 = 210.07 : x
  2. Step 2: Convert to fraction form
    383.66/574.97 = 210.07/x
  3. Step 3: Cross multiply
    383.66x = 574.97 × 210.07
  4. Step 4: Simplify right side
    383.66x = 120,783.95
  5. Step 5: Solve for x
    x = 120,783.95/383.66
  6. Step 6: Final answer
    x = 314.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.