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Finding the Fourth Proportional to 509.33, 702.84 and 288.24

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Solution

The fourth proportional to 509.33, 702.84 and 288.24 is: 397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.33 : 702.84 = 288.24 : x
  2. Step 2: Convert to fraction form
    509.33/702.84 = 288.24/x
  3. Step 3: Cross multiply
    509.33x = 702.84 × 288.24
  4. Step 4: Simplify right side
    509.33x = 202,586.60
  5. Step 5: Solve for x
    x = 202,586.60/509.33
  6. Step 6: Final answer
    x = 397.75

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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.