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Finding the Fourth Proportional to 389.16, 536.82 and 300.60

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Solution

The fourth proportional to 389.16, 536.82 and 300.60 is: 414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.16 : 536.82 = 300.60 : x
  2. Step 2: Convert to fraction form
    389.16/536.82 = 300.60/x
  3. Step 3: Cross multiply
    389.16x = 536.82 × 300.60
  4. Step 4: Simplify right side
    389.16x = 161,368.09
  5. Step 5: Solve for x
    x = 161,368.09/389.16
  6. Step 6: Final answer
    x = 414.66

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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.