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Finding the Fourth Proportional to 364.69, 547.13 and 255

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Solution

The fourth proportional to 364.69, 547.13 and 255 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.69 : 547.13 = 255 : x
  2. Step 2: Convert to fraction form
    364.69/547.13 = 255/x
  3. Step 3: Cross multiply
    364.69x = 547.13 × 255
  4. Step 4: Simplify right side
    364.69x = 139,518.79
  5. Step 5: Solve for x
    x = 139,518.79/364.69
  6. Step 6: Final answer
    x = 382.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.