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Finding the Fourth Proportional to 509.05, 702.36 and 299.15

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Solution

The fourth proportional to 509.05, 702.36 and 299.15 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.05 : 702.36 = 299.15 : x
  2. Step 2: Convert to fraction form
    509.05/702.36 = 299.15/x
  3. Step 3: Cross multiply
    509.05x = 702.36 × 299.15
  4. Step 4: Simplify right side
    509.05x = 210,110.99
  5. Step 5: Solve for x
    x = 210,110.99/509.05
  6. Step 6: Final answer
    x = 412.76

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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.