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Finding the Fourth Proportional to 369.54, 507.78 and 365.76

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Solution

The fourth proportional to 369.54, 507.78 and 365.76 is: 502.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.54 : 507.78 = 365.76 : x
  2. Step 2: Convert to fraction form
    369.54/507.78 = 365.76/x
  3. Step 3: Cross multiply
    369.54x = 507.78 × 365.76
  4. Step 4: Simplify right side
    369.54x = 185,725.61
  5. Step 5: Solve for x
    x = 185,725.61/369.54
  6. Step 6: Final answer
    x = 502.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.