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Finding the Fourth Proportional to 509.03, 702.37 and 299.16

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Solution

The fourth proportional to 509.03, 702.37 and 299.16 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.03 : 702.37 = 299.16 : x
  2. Step 2: Convert to fraction form
    509.03/702.37 = 299.16/x
  3. Step 3: Cross multiply
    509.03x = 702.37 × 299.16
  4. Step 4: Simplify right side
    509.03x = 210,120.26
  5. Step 5: Solve for x
    x = 210,120.26/509.03
  6. Step 6: Final answer
    x = 412.79

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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.