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Finding the Fourth Proportional to 677.81, 935.40 and 415.67

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Solution

The fourth proportional to 677.81, 935.40 and 415.67 is: 573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 935.40 = 415.67 : x
  2. Step 2: Convert to fraction form
    677.81/935.40 = 415.67/x
  3. Step 3: Cross multiply
    677.81x = 935.40 × 415.67
  4. Step 4: Simplify right side
    677.81x = 388,815.64
  5. Step 5: Solve for x
    x = 388,815.64/677.81
  6. Step 6: Final answer
    x = 573.64

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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.