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Finding the Fourth Proportional to 389.09, 536.87 and 302.42

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Solution

The fourth proportional to 389.09, 536.87 and 302.42 is: 417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.09 : 536.87 = 302.42 : x
  2. Step 2: Convert to fraction form
    389.09/536.87 = 302.42/x
  3. Step 3: Cross multiply
    389.09x = 536.87 × 302.42
  4. Step 4: Simplify right side
    389.09x = 162,356.03
  5. Step 5: Solve for x
    x = 162,356.03/389.09
  6. Step 6: Final answer
    x = 417.28

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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.