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Finding the Fourth Proportional to 433.55, 647.49 and 347.02

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Solution

The fourth proportional to 433.55, 647.49 and 347.02 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.55 : 647.49 = 347.02 : x
  2. Step 2: Convert to fraction form
    433.55/647.49 = 347.02/x
  3. Step 3: Cross multiply
    433.55x = 647.49 × 347.02
  4. Step 4: Simplify right side
    433.55x = 224,691.66
  5. Step 5: Solve for x
    x = 224,691.66/433.55
  6. Step 6: Final answer
    x = 518.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.