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Finding the Fourth Proportional to 476.86, 659.16 and 438.60

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Solution

The fourth proportional to 476.86, 659.16 and 438.60 is: 606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.86 : 659.16 = 438.60 : x
  2. Step 2: Convert to fraction form
    476.86/659.16 = 438.60/x
  3. Step 3: Cross multiply
    476.86x = 659.16 × 438.60
  4. Step 4: Simplify right side
    476.86x = 289,107.58
  5. Step 5: Solve for x
    x = 289,107.58/476.86
  6. Step 6: Final answer
    x = 606.27

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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.