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Finding the Fourth Proportional to 369.94, 509.46 and 368.82

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Solution

The fourth proportional to 369.94, 509.46 and 368.82 is: 507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 509.46 = 368.82 : x
  2. Step 2: Convert to fraction form
    369.94/509.46 = 368.82/x
  3. Step 3: Cross multiply
    369.94x = 509.46 × 368.82
  4. Step 4: Simplify right side
    369.94x = 187,899.04
  5. Step 5: Solve for x
    x = 187,899.04/369.94
  6. Step 6: Final answer
    x = 507.92

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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.