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Finding the Fourth Proportional to 476.86, 657.84 and 277.69

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Solution

The fourth proportional to 476.86, 657.84 and 277.69 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.86 : 657.84 = 277.69 : x
  2. Step 2: Convert to fraction form
    476.86/657.84 = 277.69/x
  3. Step 3: Cross multiply
    476.86x = 657.84 × 277.69
  4. Step 4: Simplify right side
    476.86x = 182,675.59
  5. Step 5: Solve for x
    x = 182,675.59/476.86
  6. Step 6: Final answer
    x = 383.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.