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Finding the Fourth Proportional to 433.10, 597.87 and 293.42

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Solution

The fourth proportional to 433.10, 597.87 and 293.42 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.10 : 597.87 = 293.42 : x
  2. Step 2: Convert to fraction form
    433.10/597.87 = 293.42/x
  3. Step 3: Cross multiply
    433.10x = 597.87 × 293.42
  4. Step 4: Simplify right side
    433.10x = 175,427.02
  5. Step 5: Solve for x
    x = 175,427.02/433.10
  6. Step 6: Final answer
    x = 405.05

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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.