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Finding the Fourth Proportional to 505.85, 696.67 and 472.91

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Solution

The fourth proportional to 505.85, 696.67 and 472.91 is: 651.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.85 : 696.67 = 472.91 : x
  2. Step 2: Convert to fraction form
    505.85/696.67 = 472.91/x
  3. Step 3: Cross multiply
    505.85x = 696.67 × 472.91
  4. Step 4: Simplify right side
    505.85x = 329,457.54
  5. Step 5: Solve for x
    x = 329,457.54/505.85
  6. Step 6: Final answer
    x = 651.30

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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.