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Finding the Fourth Proportional to 369.63, 510.39 and 286.65

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Solution

The fourth proportional to 369.63, 510.39 and 286.65 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 510.39 = 286.65 : x
  2. Step 2: Convert to fraction form
    369.63/510.39 = 286.65/x
  3. Step 3: Cross multiply
    369.63x = 510.39 × 286.65
  4. Step 4: Simplify right side
    369.63x = 146,303.29
  5. Step 5: Solve for x
    x = 146,303.29/369.63
  6. Step 6: Final answer
    x = 395.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.