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Finding the Fourth Proportional to 566.89, 848.96 and 322.67

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Solution

The fourth proportional to 566.89, 848.96 and 322.67 is: 483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.89 : 848.96 = 322.67 : x
  2. Step 2: Convert to fraction form
    566.89/848.96 = 322.67/x
  3. Step 3: Cross multiply
    566.89x = 848.96 × 322.67
  4. Step 4: Simplify right side
    566.89x = 273,933.92
  5. Step 5: Solve for x
    x = 273,933.92/566.89
  6. Step 6: Final answer
    x = 483.22

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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.