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Finding the Fourth Proportional to 566.54, 848.36 and 349.46

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Solution

The fourth proportional to 566.54, 848.36 and 349.46 is: 523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.54 : 848.36 = 349.46 : x
  2. Step 2: Convert to fraction form
    566.54/848.36 = 349.46/x
  3. Step 3: Cross multiply
    566.54x = 848.36 × 349.46
  4. Step 4: Simplify right side
    566.54x = 296,464.52
  5. Step 5: Solve for x
    x = 296,464.52/566.54
  6. Step 6: Final answer
    x = 523.29

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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.