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Finding the Fourth Proportional to 566.26, 848.47 and 322.96

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Solution

The fourth proportional to 566.26, 848.47 and 322.96 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.26 : 848.47 = 322.96 : x
  2. Step 2: Convert to fraction form
    566.26/848.47 = 322.96/x
  3. Step 3: Cross multiply
    566.26x = 848.47 × 322.96
  4. Step 4: Simplify right side
    566.26x = 274,021.87
  5. Step 5: Solve for x
    x = 274,021.87/566.26
  6. Step 6: Final answer
    x = 483.92

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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.