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Finding the Fourth Proportional to 508.47, 701.37 and 311.64

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Solution

The fourth proportional to 508.47, 701.37 and 311.64 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 701.37 = 311.64 : x
  2. Step 2: Convert to fraction form
    508.47/701.37 = 311.64/x
  3. Step 3: Cross multiply
    508.47x = 701.37 × 311.64
  4. Step 4: Simplify right side
    508.47x = 218,574.95
  5. Step 5: Solve for x
    x = 218,574.95/508.47
  6. Step 6: Final answer
    x = 429.87

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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.