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Finding the Fourth Proportional to 509.41, 702.97 and 299.58

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Solution

The fourth proportional to 509.41, 702.97 and 299.58 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.41 : 702.97 = 299.58 : x
  2. Step 2: Convert to fraction form
    509.41/702.97 = 299.58/x
  3. Step 3: Cross multiply
    509.41x = 702.97 × 299.58
  4. Step 4: Simplify right side
    509.41x = 210,595.75
  5. Step 5: Solve for x
    x = 210,595.75/509.41
  6. Step 6: Final answer
    x = 413.41

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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.