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Finding the Fourth Proportional to 477.28, 661.13 and 467.56

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Solution

The fourth proportional to 477.28, 661.13 and 467.56 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.28 : 661.13 = 467.56 : x
  2. Step 2: Convert to fraction form
    477.28/661.13 = 467.56/x
  3. Step 3: Cross multiply
    477.28x = 661.13 × 467.56
  4. Step 4: Simplify right side
    477.28x = 309,117.94
  5. Step 5: Solve for x
    x = 309,117.94/477.28
  6. Step 6: Final answer
    x = 647.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.