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Finding the Fourth Proportional to 565.22, 846.12 and 493.22

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Solution

The fourth proportional to 565.22, 846.12 and 493.22 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 846.12 = 493.22 : x
  2. Step 2: Convert to fraction form
    565.22/846.12 = 493.22/x
  3. Step 3: Cross multiply
    565.22x = 846.12 × 493.22
  4. Step 4: Simplify right side
    565.22x = 417,323.31
  5. Step 5: Solve for x
    x = 417,323.31/565.22
  6. Step 6: Final answer
    x = 738.34

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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.