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Finding the Fourth Proportional to 433.16, 597.71 and 246.65

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Solution

The fourth proportional to 433.16, 597.71 and 246.65 is: 340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 597.71 = 246.65 : x
  2. Step 2: Convert to fraction form
    433.16/597.71 = 246.65/x
  3. Step 3: Cross multiply
    433.16x = 597.71 × 246.65
  4. Step 4: Simplify right side
    433.16x = 147,420.95
  5. Step 5: Solve for x
    x = 147,420.95/433.16
  6. Step 6: Final answer
    x = 340.34

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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.