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Finding the Fourth Proportional to 509.24, 702.78 and 288.22

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Solution

The fourth proportional to 509.24, 702.78 and 288.22 is: 397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 702.78 = 288.22 : x
  2. Step 2: Convert to fraction form
    509.24/702.78 = 288.22/x
  3. Step 3: Cross multiply
    509.24x = 702.78 × 288.22
  4. Step 4: Simplify right side
    509.24x = 202,555.25
  5. Step 5: Solve for x
    x = 202,555.25/509.24
  6. Step 6: Final answer
    x = 397.76

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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.