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Finding the Fourth Proportional to 677.77, 934.85 and 415.93

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Solution

The fourth proportional to 677.77, 934.85 and 415.93 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.77 : 934.85 = 415.93 : x
  2. Step 2: Convert to fraction form
    677.77/934.85 = 415.93/x
  3. Step 3: Cross multiply
    677.77x = 934.85 × 415.93
  4. Step 4: Simplify right side
    677.77x = 388,830.08
  5. Step 5: Solve for x
    x = 388,830.08/677.77
  6. Step 6: Final answer
    x = 573.69

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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.