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Finding the Fourth Proportional to 564.83, 846.66 and 382.24

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Solution

The fourth proportional to 564.83, 846.66 and 382.24 is: 572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 846.66 = 382.24 : x
  2. Step 2: Convert to fraction form
    564.83/846.66 = 382.24/x
  3. Step 3: Cross multiply
    564.83x = 846.66 × 382.24
  4. Step 4: Simplify right side
    564.83x = 323,627.32
  5. Step 5: Solve for x
    x = 323,627.32/564.83
  6. Step 6: Final answer
    x = 572.96

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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.