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Finding the Fourth Proportional to 433.34, 646.69 and 387.21

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Solution

The fourth proportional to 433.34, 646.69 and 387.21 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.34 : 646.69 = 387.21 : x
  2. Step 2: Convert to fraction form
    433.34/646.69 = 387.21/x
  3. Step 3: Cross multiply
    433.34x = 646.69 × 387.21
  4. Step 4: Simplify right side
    433.34x = 250,403.87
  5. Step 5: Solve for x
    x = 250,403.87/433.34
  6. Step 6: Final answer
    x = 577.84

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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.