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Finding the Fourth Proportional to 474.37, 710.07 and 419.68

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Solution

The fourth proportional to 474.37, 710.07 and 419.68 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.37 : 710.07 = 419.68 : x
  2. Step 2: Convert to fraction form
    474.37/710.07 = 419.68/x
  3. Step 3: Cross multiply
    474.37x = 710.07 × 419.68
  4. Step 4: Simplify right side
    474.37x = 298,002.18
  5. Step 5: Solve for x
    x = 298,002.18/474.37
  6. Step 6: Final answer
    x = 628.21

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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.