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Finding the Fourth Proportional to 540.64, 742.49 and 453.16

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Solution

The fourth proportional to 540.64, 742.49 and 453.16 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 742.49 = 453.16 : x
  2. Step 2: Convert to fraction form
    540.64/742.49 = 453.16/x
  3. Step 3: Cross multiply
    540.64x = 742.49 × 453.16
  4. Step 4: Simplify right side
    540.64x = 336,466.77
  5. Step 5: Solve for x
    x = 336,466.77/540.64
  6. Step 6: Final answer
    x = 622.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.