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Finding the Fourth Proportional to 438.46, 603.90 and 405.62

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Solution

The fourth proportional to 438.46, 603.90 and 405.62 is: 558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.46 : 603.90 = 405.62 : x
  2. Step 2: Convert to fraction form
    438.46/603.90 = 405.62/x
  3. Step 3: Cross multiply
    438.46x = 603.90 × 405.62
  4. Step 4: Simplify right side
    438.46x = 244,953.92
  5. Step 5: Solve for x
    x = 244,953.92/438.46
  6. Step 6: Final answer
    x = 558.67

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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.