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Finding the Fourth Proportional to 565.66, 846.83 and 420.06

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Solution

The fourth proportional to 565.66, 846.83 and 420.06 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.66 : 846.83 = 420.06 : x
  2. Step 2: Convert to fraction form
    565.66/846.83 = 420.06/x
  3. Step 3: Cross multiply
    565.66x = 846.83 × 420.06
  4. Step 4: Simplify right side
    565.66x = 355,720.46
  5. Step 5: Solve for x
    x = 355,720.46/565.66
  6. Step 6: Final answer
    x = 628.86

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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.