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Finding the Fourth Proportional to 566.41, 848.67 and 401.06

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Solution

The fourth proportional to 566.41, 848.67 and 401.06 is: 600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.41 : 848.67 = 401.06 : x
  2. Step 2: Convert to fraction form
    566.41/848.67 = 401.06/x
  3. Step 3: Cross multiply
    566.41x = 848.67 × 401.06
  4. Step 4: Simplify right side
    566.41x = 340,365.76
  5. Step 5: Solve for x
    x = 340,365.76/566.41
  6. Step 6: Final answer
    x = 600.92

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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.