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Finding the Fourth Proportional to 566.24, 848.23 and 274.02

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Solution

The fourth proportional to 566.24, 848.23 and 274.02 is: 410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.24 : 848.23 = 274.02 : x
  2. Step 2: Convert to fraction form
    566.24/848.23 = 274.02/x
  3. Step 3: Cross multiply
    566.24x = 848.23 × 274.02
  4. Step 4: Simplify right side
    566.24x = 232,431.98
  5. Step 5: Solve for x
    x = 232,431.98/566.24
  6. Step 6: Final answer
    x = 410.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.