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Finding the Fourth Proportional to 953.34, 1,429.62 and 433.70

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Solution

The fourth proportional to 953.34, 1,429.62 and 433.70 is: 650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,429.62 = 433.70 : x
  2. Step 2: Convert to fraction form
    953.34/1,429.62 = 433.70/x
  3. Step 3: Cross multiply
    953.34x = 1,429.62 × 433.70
  4. Step 4: Simplify right side
    953.34x = 620,034.48
  5. Step 5: Solve for x
    x = 620,034.48/953.34
  6. Step 6: Final answer
    x = 650.38

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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.