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Finding the Fourth Proportional to 570.31, 854.42 and 277.43

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Solution

The fourth proportional to 570.31, 854.42 and 277.43 is: 415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.31 : 854.42 = 277.43 : x
  2. Step 2: Convert to fraction form
    570.31/854.42 = 277.43/x
  3. Step 3: Cross multiply
    570.31x = 854.42 × 277.43
  4. Step 4: Simplify right side
    570.31x = 237,036.08
  5. Step 5: Solve for x
    x = 237,036.08/570.31
  6. Step 6: Final answer
    x = 415.63

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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.