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Finding the Fourth Proportional to 505.31, 696.67 and 435.11

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Solution

The fourth proportional to 505.31, 696.67 and 435.11 is: 599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.31 : 696.67 = 435.11 : x
  2. Step 2: Convert to fraction form
    505.31/696.67 = 435.11/x
  3. Step 3: Cross multiply
    505.31x = 696.67 × 435.11
  4. Step 4: Simplify right side
    505.31x = 303,123.51
  5. Step 5: Solve for x
    x = 303,123.51/505.31
  6. Step 6: Final answer
    x = 599.88

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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.