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Finding the Fourth Proportional to 433.80, 597.78 and 405.72

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Solution

The fourth proportional to 433.80, 597.78 and 405.72 is: 559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 597.78 = 405.72 : x
  2. Step 2: Convert to fraction form
    433.80/597.78 = 405.72/x
  3. Step 3: Cross multiply
    433.80x = 597.78 × 405.72
  4. Step 4: Simplify right side
    433.80x = 242,531.30
  5. Step 5: Solve for x
    x = 242,531.30/433.80
  6. Step 6: Final answer
    x = 559.09

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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.