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Finding the Fourth Proportional to 477.53, 659.01 and 267.77

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Solution

The fourth proportional to 477.53, 659.01 and 267.77 is: 369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.53 : 659.01 = 267.77 : x
  2. Step 2: Convert to fraction form
    477.53/659.01 = 267.77/x
  3. Step 3: Cross multiply
    477.53x = 659.01 × 267.77
  4. Step 4: Simplify right side
    477.53x = 176,463.78
  5. Step 5: Solve for x
    x = 176,463.78/477.53
  6. Step 6: Final answer
    x = 369.54

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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.