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Finding the Fourth Proportional to 486.76, 671.28 and 438.16

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Solution

The fourth proportional to 486.76, 671.28 and 438.16 is: 604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.76 : 671.28 = 438.16 : x
  2. Step 2: Convert to fraction form
    486.76/671.28 = 438.16/x
  3. Step 3: Cross multiply
    486.76x = 671.28 × 438.16
  4. Step 4: Simplify right side
    486.76x = 294,128.04
  5. Step 5: Solve for x
    x = 294,128.04/486.76
  6. Step 6: Final answer
    x = 604.26

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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.