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Finding the Fourth Proportional to 472.56, 651.77 and 361.76

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Solution

The fourth proportional to 472.56, 651.77 and 361.76 is: 498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 651.77 = 361.76 : x
  2. Step 2: Convert to fraction form
    472.56/651.77 = 361.76/x
  3. Step 3: Cross multiply
    472.56x = 651.77 × 361.76
  4. Step 4: Simplify right side
    472.56x = 235,784.32
  5. Step 5: Solve for x
    x = 235,784.32/472.56
  6. Step 6: Final answer
    x = 498.95

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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.