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Finding the Fourth Proportional to 476.19, 713.48 and 414.63

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Solution

The fourth proportional to 476.19, 713.48 and 414.63 is: 621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.19 : 713.48 = 414.63 : x
  2. Step 2: Convert to fraction form
    476.19/713.48 = 414.63/x
  3. Step 3: Cross multiply
    476.19x = 713.48 × 414.63
  4. Step 4: Simplify right side
    476.19x = 295,828.14
  5. Step 5: Solve for x
    x = 295,828.14/476.19
  6. Step 6: Final answer
    x = 621.24

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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.