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Finding the Fourth Proportional to 428.36, 590.15 and 295.45

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Solution

The fourth proportional to 428.36, 590.15 and 295.45 is: 407.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 590.15 = 295.45 : x
  2. Step 2: Convert to fraction form
    428.36/590.15 = 295.45/x
  3. Step 3: Cross multiply
    428.36x = 590.15 × 295.45
  4. Step 4: Simplify right side
    428.36x = 174,359.08
  5. Step 5: Solve for x
    x = 174,359.08/428.36
  6. Step 6: Final answer
    x = 407.04

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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.