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Finding the Fourth Proportional to 677.98, 935.63 and 367.48

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Solution

The fourth proportional to 677.98, 935.63 and 367.48 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 935.63 = 367.48 : x
  2. Step 2: Convert to fraction form
    677.98/935.63 = 367.48/x
  3. Step 3: Cross multiply
    677.98x = 935.63 × 367.48
  4. Step 4: Simplify right side
    677.98x = 343,825.81
  5. Step 5: Solve for x
    x = 343,825.81/677.98
  6. Step 6: Final answer
    x = 507.13

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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.