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Finding the Fourth Proportional to 433.88, 599.10 and 346.94

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Solution

The fourth proportional to 433.88, 599.10 and 346.94 is: 479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.88 : 599.10 = 346.94 : x
  2. Step 2: Convert to fraction form
    433.88/599.10 = 346.94/x
  3. Step 3: Cross multiply
    433.88x = 599.10 × 346.94
  4. Step 4: Simplify right side
    433.88x = 207,851.75
  5. Step 5: Solve for x
    x = 207,851.75/433.88
  6. Step 6: Final answer
    x = 479.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.