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Finding the Fourth Proportional to 571.23, 857.84 and 542.03

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Solution

The fourth proportional to 571.23, 857.84 and 542.03 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 857.84 = 542.03 : x
  2. Step 2: Convert to fraction form
    571.23/857.84 = 542.03/x
  3. Step 3: Cross multiply
    571.23x = 857.84 × 542.03
  4. Step 4: Simplify right side
    571.23x = 464,968.02
  5. Step 5: Solve for x
    x = 464,968.02/571.23
  6. Step 6: Final answer
    x = 813.98

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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.