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Finding the Fourth Proportional to 495.75, 738.77 and 466.54

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Solution

The fourth proportional to 495.75, 738.77 and 466.54 is: 695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 738.77 = 466.54 : x
  2. Step 2: Convert to fraction form
    495.75/738.77 = 466.54/x
  3. Step 3: Cross multiply
    495.75x = 738.77 × 466.54
  4. Step 4: Simplify right side
    495.75x = 344,665.76
  5. Step 5: Solve for x
    x = 344,665.76/495.75
  6. Step 6: Final answer
    x = 695.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.