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Finding the Fourth Proportional to 703.83, 971.30 and 389.11

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Solution

The fourth proportional to 703.83, 971.30 and 389.11 is: 536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.83 : 971.30 = 389.11 : x
  2. Step 2: Convert to fraction form
    703.83/971.30 = 389.11/x
  3. Step 3: Cross multiply
    703.83x = 971.30 × 389.11
  4. Step 4: Simplify right side
    703.83x = 377,940.60
  5. Step 5: Solve for x
    x = 377,940.60/703.83
  6. Step 6: Final answer
    x = 536.98

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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.