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Finding the Fourth Proportional to 546.12, 753.52 and 336.32

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Solution

The fourth proportional to 546.12, 753.52 and 336.32 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.12 : 753.52 = 336.32 : x
  2. Step 2: Convert to fraction form
    546.12/753.52 = 336.32/x
  3. Step 3: Cross multiply
    546.12x = 753.52 × 336.32
  4. Step 4: Simplify right side
    546.12x = 253,423.85
  5. Step 5: Solve for x
    x = 253,423.85/546.12
  6. Step 6: Final answer
    x = 464.04

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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.