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Finding the Fourth Proportional to 389.09, 537.06 and 358.10

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Solution

The fourth proportional to 389.09, 537.06 and 358.10 is: 494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.09 : 537.06 = 358.10 : x
  2. Step 2: Convert to fraction form
    389.09/537.06 = 358.10/x
  3. Step 3: Cross multiply
    389.09x = 537.06 × 358.10
  4. Step 4: Simplify right side
    389.09x = 192,318.50
  5. Step 5: Solve for x
    x = 192,318.50/389.09
  6. Step 6: Final answer
    x = 494.28

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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.