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Finding the Fourth Proportional to 479.64, 660.59 and 414.12

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Solution

The fourth proportional to 479.64, 660.59 and 414.12 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.64 : 660.59 = 414.12 : x
  2. Step 2: Convert to fraction form
    479.64/660.59 = 414.12/x
  3. Step 3: Cross multiply
    479.64x = 660.59 × 414.12
  4. Step 4: Simplify right side
    479.64x = 273,563.53
  5. Step 5: Solve for x
    x = 273,563.53/479.64
  6. Step 6: Final answer
    x = 570.35

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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.