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Finding the Fourth Proportional to 566.42, 848.40 and 277.26

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Solution

The fourth proportional to 566.42, 848.40 and 277.26 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 848.40 = 277.26 : x
  2. Step 2: Convert to fraction form
    566.42/848.40 = 277.26/x
  3. Step 3: Cross multiply
    566.42x = 848.40 × 277.26
  4. Step 4: Simplify right side
    566.42x = 235,227.38
  5. Step 5: Solve for x
    x = 235,227.38/566.42
  6. Step 6: Final answer
    x = 415.29

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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.