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Finding the Fourth Proportional to 677.58, 935.07 and 415.50

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Solution

The fourth proportional to 677.58, 935.07 and 415.50 is: 573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.58 : 935.07 = 415.50 : x
  2. Step 2: Convert to fraction form
    677.58/935.07 = 415.50/x
  3. Step 3: Cross multiply
    677.58x = 935.07 × 415.50
  4. Step 4: Simplify right side
    677.58x = 388,521.59
  5. Step 5: Solve for x
    x = 388,521.59/677.58
  6. Step 6: Final answer
    x = 573.40

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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.