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Finding the Fourth Proportional to 476.76, 713.52 and 419.16

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Solution

The fourth proportional to 476.76, 713.52 and 419.16 is: 627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 713.52 = 419.16 : x
  2. Step 2: Convert to fraction form
    476.76/713.52 = 419.16/x
  3. Step 3: Cross multiply
    476.76x = 713.52 × 419.16
  4. Step 4: Simplify right side
    476.76x = 299,079.04
  5. Step 5: Solve for x
    x = 299,079.04/476.76
  6. Step 6: Final answer
    x = 627.32

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Why These Related Problems?

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