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Finding the Fourth Proportional to 428.04, 590.40 and 253.32

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Solution

The fourth proportional to 428.04, 590.40 and 253.32 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 590.40 = 253.32 : x
  2. Step 2: Convert to fraction form
    428.04/590.40 = 253.32/x
  3. Step 3: Cross multiply
    428.04x = 590.40 × 253.32
  4. Step 4: Simplify right side
    428.04x = 149,560.13
  5. Step 5: Solve for x
    x = 149,560.13/428.04
  6. Step 6: Final answer
    x = 349.41

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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.