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Finding the Fourth Proportional to 509.01, 702.11 and 331.94

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Solution

The fourth proportional to 509.01, 702.11 and 331.94 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.01 : 702.11 = 331.94 : x
  2. Step 2: Convert to fraction form
    509.01/702.11 = 331.94/x
  3. Step 3: Cross multiply
    509.01x = 702.11 × 331.94
  4. Step 4: Simplify right side
    509.01x = 233,053.22
  5. Step 5: Solve for x
    x = 233,053.22/509.01
  6. Step 6: Final answer
    x = 457.86

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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.