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Finding the Fourth Proportional to 869.45, 1,302.70 and 430.11

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Solution

The fourth proportional to 869.45, 1,302.70 and 430.11 is: 644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.45 : 1,302.70 = 430.11 : x
  2. Step 2: Convert to fraction form
    869.45/1,302.70 = 430.11/x
  3. Step 3: Cross multiply
    869.45x = 1,302.70 × 430.11
  4. Step 4: Simplify right side
    869.45x = 560,304.83
  5. Step 5: Solve for x
    x = 560,304.83/869.45
  6. Step 6: Final answer
    x = 644.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.