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Finding the Fourth Proportional to 572.89, 857.29 and 496.12

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Solution

The fourth proportional to 572.89, 857.29 and 496.12 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.89 : 857.29 = 496.12 : x
  2. Step 2: Convert to fraction form
    572.89/857.29 = 496.12/x
  3. Step 3: Cross multiply
    572.89x = 857.29 × 496.12
  4. Step 4: Simplify right side
    572.89x = 425,316.23
  5. Step 5: Solve for x
    x = 425,316.23/572.89
  6. Step 6: Final answer
    x = 742.40

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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.