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Finding the Fourth Proportional to 677.06, 933.06 and 466.86

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Solution

The fourth proportional to 677.06, 933.06 and 466.86 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 933.06 = 466.86 : x
  2. Step 2: Convert to fraction form
    677.06/933.06 = 466.86/x
  3. Step 3: Cross multiply
    677.06x = 933.06 × 466.86
  4. Step 4: Simplify right side
    677.06x = 435,608.39
  5. Step 5: Solve for x
    x = 435,608.39/677.06
  6. Step 6: Final answer
    x = 643.38

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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.