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Finding the Fourth Proportional to 566.04, 847.56 and 383.04

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Solution

The fourth proportional to 566.04, 847.56 and 383.04 is: 573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 847.56 = 383.04 : x
  2. Step 2: Convert to fraction form
    566.04/847.56 = 383.04/x
  3. Step 3: Cross multiply
    566.04x = 847.56 × 383.04
  4. Step 4: Simplify right side
    566.04x = 324,649.38
  5. Step 5: Solve for x
    x = 324,649.38/566.04
  6. Step 6: Final answer
    x = 573.54

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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.