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Finding the Fourth Proportional to 433.66, 598.71 and 286.54

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Solution

The fourth proportional to 433.66, 598.71 and 286.54 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.66 : 598.71 = 286.54 : x
  2. Step 2: Convert to fraction form
    433.66/598.71 = 286.54/x
  3. Step 3: Cross multiply
    433.66x = 598.71 × 286.54
  4. Step 4: Simplify right side
    433.66x = 171,554.36
  5. Step 5: Solve for x
    x = 171,554.36/433.66
  6. Step 6: Final answer
    x = 395.60

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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.