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Finding the Fourth Proportional to 369.04, 509.76 and 286.24

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Solution

The fourth proportional to 369.04, 509.76 and 286.24 is: 395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.04 : 509.76 = 286.24 : x
  2. Step 2: Convert to fraction form
    369.04/509.76 = 286.24/x
  3. Step 3: Cross multiply
    369.04x = 509.76 × 286.24
  4. Step 4: Simplify right side
    369.04x = 145,913.70
  5. Step 5: Solve for x
    x = 145,913.70/369.04
  6. Step 6: Final answer
    x = 395.39

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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.