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Finding the Fourth Proportional to 573.21, 857.52 and 497.01

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Solution

The fourth proportional to 573.21, 857.52 and 497.01 is: 743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.21 : 857.52 = 497.01 : x
  2. Step 2: Convert to fraction form
    573.21/857.52 = 497.01/x
  3. Step 3: Cross multiply
    573.21x = 857.52 × 497.01
  4. Step 4: Simplify right side
    573.21x = 426,196.02
  5. Step 5: Solve for x
    x = 426,196.02/573.21
  6. Step 6: Final answer
    x = 743.53

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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.