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Finding the Fourth Proportional to 476.15, 714.42 and 419.04

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Solution

The fourth proportional to 476.15, 714.42 and 419.04 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.15 : 714.42 = 419.04 : x
  2. Step 2: Convert to fraction form
    476.15/714.42 = 419.04/x
  3. Step 3: Cross multiply
    476.15x = 714.42 × 419.04
  4. Step 4: Simplify right side
    476.15x = 299,370.56
  5. Step 5: Solve for x
    x = 299,370.56/476.15
  6. Step 6: Final answer
    x = 628.74

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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.