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Finding the Fourth Proportional to 438.23, 653.35 and 427.01

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Solution

The fourth proportional to 438.23, 653.35 and 427.01 is: 636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.23 : 653.35 = 427.01 : x
  2. Step 2: Convert to fraction form
    438.23/653.35 = 427.01/x
  3. Step 3: Cross multiply
    438.23x = 653.35 × 427.01
  4. Step 4: Simplify right side
    438.23x = 278,986.98
  5. Step 5: Solve for x
    x = 278,986.98/438.23
  6. Step 6: Final answer
    x = 636.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.