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Finding the Fourth Proportional to 480.32, 718.73 and 416.07

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Solution

The fourth proportional to 480.32, 718.73 and 416.07 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 718.73 = 416.07 : x
  2. Step 2: Convert to fraction form
    480.32/718.73 = 416.07/x
  3. Step 3: Cross multiply
    480.32x = 718.73 × 416.07
  4. Step 4: Simplify right side
    480.32x = 299,041.99
  5. Step 5: Solve for x
    x = 299,041.99/480.32
  6. Step 6: Final answer
    x = 622.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.