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Finding the Fourth Proportional to 955.69, 1,433.57 and 297.63

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Solution

The fourth proportional to 955.69, 1,433.57 and 297.63 is: 446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.69 : 1,433.57 = 297.63 : x
  2. Step 2: Convert to fraction form
    955.69/1,433.57 = 297.63/x
  3. Step 3: Cross multiply
    955.69x = 1,433.57 × 297.63
  4. Step 4: Simplify right side
    955.69x = 426,673.44
  5. Step 5: Solve for x
    x = 426,673.44/955.69
  6. Step 6: Final answer
    x = 446.46

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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.