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Finding the Fourth Proportional to 509.25, 702.75 and 299.42

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Solution

The fourth proportional to 509.25, 702.75 and 299.42 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 702.75 = 299.42 : x
  2. Step 2: Convert to fraction form
    509.25/702.75 = 299.42/x
  3. Step 3: Cross multiply
    509.25x = 702.75 × 299.42
  4. Step 4: Simplify right side
    509.25x = 210,417.41
  5. Step 5: Solve for x
    x = 210,417.41/509.25
  6. Step 6: Final answer
    x = 413.19

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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.