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Finding the Fourth Proportional to 566.40, 849.46 and 383.75

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Solution

The fourth proportional to 566.40, 849.46 and 383.75 is: 575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 849.46 = 383.75 : x
  2. Step 2: Convert to fraction form
    566.40/849.46 = 383.75/x
  3. Step 3: Cross multiply
    566.40x = 849.46 × 383.75
  4. Step 4: Simplify right side
    566.40x = 325,980.28
  5. Step 5: Solve for x
    x = 325,980.28/566.40
  6. Step 6: Final answer
    x = 575.53

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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.