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Finding the Fourth Proportional to 570.78, 853.47 and 496.98

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Solution

The fourth proportional to 570.78, 853.47 and 496.98 is: 743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 853.47 = 496.98 : x
  2. Step 2: Convert to fraction form
    570.78/853.47 = 496.98/x
  3. Step 3: Cross multiply
    570.78x = 853.47 × 496.98
  4. Step 4: Simplify right side
    570.78x = 424,157.52
  5. Step 5: Solve for x
    x = 424,157.52/570.78
  6. Step 6: Final answer
    x = 743.12

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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.