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Finding the Fourth Proportional to 369.76, 510 and 259.36

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Solution

The fourth proportional to 369.76, 510 and 259.36 is: 357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 510 = 259.36 : x
  2. Step 2: Convert to fraction form
    369.76/510 = 259.36/x
  3. Step 3: Cross multiply
    369.76x = 510 × 259.36
  4. Step 4: Simplify right side
    369.76x = 132,273.60
  5. Step 5: Solve for x
    x = 132,273.60/369.76
  6. Step 6: Final answer
    x = 357.73

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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.