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Finding the Fourth Proportional to 566.36, 848.58 and 274.00

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Solution

The fourth proportional to 566.36, 848.58 and 274.00 is: 410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.36 : 848.58 = 274.00 : x
  2. Step 2: Convert to fraction form
    566.36/848.58 = 274.00/x
  3. Step 3: Cross multiply
    566.36x = 848.58 × 274.00
  4. Step 4: Simplify right side
    566.36x = 232,511.59
  5. Step 5: Solve for x
    x = 232,511.59/566.36
  6. Step 6: Final answer
    x = 410.54

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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.