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Finding the Fourth Proportional to 509.30, 702.72 and 352.26

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Solution

The fourth proportional to 509.30, 702.72 and 352.26 is: 486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 702.72 = 352.26 : x
  2. Step 2: Convert to fraction form
    509.30/702.72 = 352.26/x
  3. Step 3: Cross multiply
    509.30x = 702.72 × 352.26
  4. Step 4: Simplify right side
    509.30x = 247,535.33
  5. Step 5: Solve for x
    x = 247,535.33/509.30
  6. Step 6: Final answer
    x = 486.03

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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.