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Finding the Fourth Proportional to 389.02, 536.68 and 258.20

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Solution

The fourth proportional to 389.02, 536.68 and 258.20 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.02 : 536.68 = 258.20 : x
  2. Step 2: Convert to fraction form
    389.02/536.68 = 258.20/x
  3. Step 3: Cross multiply
    389.02x = 536.68 × 258.20
  4. Step 4: Simplify right side
    389.02x = 138,570.78
  5. Step 5: Solve for x
    x = 138,570.78/389.02
  6. Step 6: Final answer
    x = 356.20

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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.