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Finding the Fourth Proportional to 438.32, 603.24 and 313.76

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Solution

The fourth proportional to 438.32, 603.24 and 313.76 is: 431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 603.24 = 313.76 : x
  2. Step 2: Convert to fraction form
    438.32/603.24 = 313.76/x
  3. Step 3: Cross multiply
    438.32x = 603.24 × 313.76
  4. Step 4: Simplify right side
    438.32x = 189,272.58
  5. Step 5: Solve for x
    x = 189,272.58/438.32
  6. Step 6: Final answer
    x = 431.81

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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.