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Finding the Fourth Proportional to 565.21, 846.66 and 419.41

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Solution

The fourth proportional to 565.21, 846.66 and 419.41 is: 628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.21 : 846.66 = 419.41 : x
  2. Step 2: Convert to fraction form
    565.21/846.66 = 419.41/x
  3. Step 3: Cross multiply
    565.21x = 846.66 × 419.41
  4. Step 4: Simplify right side
    565.21x = 355,097.67
  5. Step 5: Solve for x
    x = 355,097.67/565.21
  6. Step 6: Final answer
    x = 628.26

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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.