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Finding the Fourth Proportional to 433.07, 597.59 and 246.57

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Solution

The fourth proportional to 433.07, 597.59 and 246.57 is: 340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.07 : 597.59 = 246.57 : x
  2. Step 2: Convert to fraction form
    433.07/597.59 = 246.57/x
  3. Step 3: Cross multiply
    433.07x = 597.59 × 246.57
  4. Step 4: Simplify right side
    433.07x = 147,346.53
  5. Step 5: Solve for x
    x = 147,346.53/433.07
  6. Step 6: Final answer
    x = 340.24

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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.