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Finding the Fourth Proportional to 433.01, 597.47 and 285.90

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Solution

The fourth proportional to 433.01, 597.47 and 285.90 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.01 : 597.47 = 285.90 : x
  2. Step 2: Convert to fraction form
    433.01/597.47 = 285.90/x
  3. Step 3: Cross multiply
    433.01x = 597.47 × 285.90
  4. Step 4: Simplify right side
    433.01x = 170,815.24
  5. Step 5: Solve for x
    x = 170,815.24/433.01
  6. Step 6: Final answer
    x = 394.49

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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.