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Finding the Fourth Proportional to 509.25, 702.84 and 288.26

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Solution

The fourth proportional to 509.25, 702.84 and 288.26 is: 397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 702.84 = 288.26 : x
  2. Step 2: Convert to fraction form
    509.25/702.84 = 288.26/x
  3. Step 3: Cross multiply
    509.25x = 702.84 × 288.26
  4. Step 4: Simplify right side
    509.25x = 202,600.66
  5. Step 5: Solve for x
    x = 202,600.66/509.25
  6. Step 6: Final answer
    x = 397.84

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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.