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Finding the Fourth Proportional to 369.72, 509.95 and 259.22

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Solution

The fourth proportional to 369.72, 509.95 and 259.22 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 509.95 = 259.22 : x
  2. Step 2: Convert to fraction form
    369.72/509.95 = 259.22/x
  3. Step 3: Cross multiply
    369.72x = 509.95 × 259.22
  4. Step 4: Simplify right side
    369.72x = 132,189.24
  5. Step 5: Solve for x
    x = 132,189.24/369.72
  6. Step 6: Final answer
    x = 357.54

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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.