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Finding the Fourth Proportional to 869.45, 1,304.53 and 356.81

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Solution

The fourth proportional to 869.45, 1,304.53 and 356.81 is: 535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.45 : 1,304.53 = 356.81 : x
  2. Step 2: Convert to fraction form
    869.45/1,304.53 = 356.81/x
  3. Step 3: Cross multiply
    869.45x = 1,304.53 × 356.81
  4. Step 4: Simplify right side
    869.45x = 465,461.93
  5. Step 5: Solve for x
    x = 465,461.93/869.45
  6. Step 6: Final answer
    x = 535.36

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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.