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Finding the Fourth Proportional to 369.95, 509.06 and 359.25

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Solution

The fourth proportional to 369.95, 509.06 and 359.25 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 509.06 = 359.25 : x
  2. Step 2: Convert to fraction form
    369.95/509.06 = 359.25/x
  3. Step 3: Cross multiply
    369.95x = 509.06 × 359.25
  4. Step 4: Simplify right side
    369.95x = 182,878.01
  5. Step 5: Solve for x
    x = 182,878.01/369.95
  6. Step 6: Final answer
    x = 494.34

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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.