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Finding the Fourth Proportional to 570.23, 854.43 and 548.86

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Solution

The fourth proportional to 570.23, 854.43 and 548.86 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.23 : 854.43 = 548.86 : x
  2. Step 2: Convert to fraction form
    570.23/854.43 = 548.86/x
  3. Step 3: Cross multiply
    570.23x = 854.43 × 548.86
  4. Step 4: Simplify right side
    570.23x = 468,962.45
  5. Step 5: Solve for x
    x = 468,962.45/570.23
  6. Step 6: Final answer
    x = 822.41

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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.