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Finding the Fourth Proportional to 438.15, 656.01 and 383.48

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Solution

The fourth proportional to 438.15, 656.01 and 383.48 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 656.01 = 383.48 : x
  2. Step 2: Convert to fraction form
    438.15/656.01 = 383.48/x
  3. Step 3: Cross multiply
    438.15x = 656.01 × 383.48
  4. Step 4: Simplify right side
    438.15x = 251,563.43
  5. Step 5: Solve for x
    x = 251,563.43/438.15
  6. Step 6: Final answer
    x = 574.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.