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Finding the Fourth Proportional to 369.79, 509.95 and 282.31

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Solution

The fourth proportional to 369.79, 509.95 and 282.31 is: 389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.79 : 509.95 = 282.31 : x
  2. Step 2: Convert to fraction form
    369.79/509.95 = 282.31/x
  3. Step 3: Cross multiply
    369.79x = 509.95 × 282.31
  4. Step 4: Simplify right side
    369.79x = 143,963.98
  5. Step 5: Solve for x
    x = 143,963.98/369.79
  6. Step 6: Final answer
    x = 389.31

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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.