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Finding the Fourth Proportional to 495.64, 742.34 and 264.12

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Solution

The fourth proportional to 495.64, 742.34 and 264.12 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.64 : 742.34 = 264.12 : x
  2. Step 2: Convert to fraction form
    495.64/742.34 = 264.12/x
  3. Step 3: Cross multiply
    495.64x = 742.34 × 264.12
  4. Step 4: Simplify right side
    495.64x = 196,066.84
  5. Step 5: Solve for x
    x = 196,066.84/495.64
  6. Step 6: Final answer
    x = 395.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.