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Finding the Fourth Proportional to 435.10, 599.94 and 295.31

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Solution

The fourth proportional to 435.10, 599.94 and 295.31 is: 407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.10 : 599.94 = 295.31 : x
  2. Step 2: Convert to fraction form
    435.10/599.94 = 295.31/x
  3. Step 3: Cross multiply
    435.10x = 599.94 × 295.31
  4. Step 4: Simplify right side
    435.10x = 177,166.00
  5. Step 5: Solve for x
    x = 177,166.00/435.10
  6. Step 6: Final answer
    x = 407.18

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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.