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Finding the Fourth Proportional to 433.00, 597.15 and 344.38

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Solution

The fourth proportional to 433.00, 597.15 and 344.38 is: 474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.00 : 597.15 = 344.38 : x
  2. Step 2: Convert to fraction form
    433.00/597.15 = 344.38/x
  3. Step 3: Cross multiply
    433.00x = 597.15 × 344.38
  4. Step 4: Simplify right side
    433.00x = 205,645.67
  5. Step 5: Solve for x
    x = 205,645.67/433.00
  6. Step 6: Final answer
    x = 474.94

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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.