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Finding the Fourth Proportional to 508.21, 701.13 and 311.65

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Solution

The fourth proportional to 508.21, 701.13 and 311.65 is: 429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.21 : 701.13 = 311.65 : x
  2. Step 2: Convert to fraction form
    508.21/701.13 = 311.65/x
  3. Step 3: Cross multiply
    508.21x = 701.13 × 311.65
  4. Step 4: Simplify right side
    508.21x = 218,507.16
  5. Step 5: Solve for x
    x = 218,507.16/508.21
  6. Step 6: Final answer
    x = 429.95

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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.