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Finding the Fourth Proportional to 433.76, 596.57 and 346.28

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Solution

The fourth proportional to 433.76, 596.57 and 346.28 is: 476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 596.57 = 346.28 : x
  2. Step 2: Convert to fraction form
    433.76/596.57 = 346.28/x
  3. Step 3: Cross multiply
    433.76x = 596.57 × 346.28
  4. Step 4: Simplify right side
    433.76x = 206,575.55
  5. Step 5: Solve for x
    x = 206,575.55/433.76
  6. Step 6: Final answer
    x = 476.25

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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.