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Finding the Fourth Proportional to 570.24, 854.62 and 496.80

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Solution

The fourth proportional to 570.24, 854.62 and 496.80 is: 744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.24 : 854.62 = 496.80 : x
  2. Step 2: Convert to fraction form
    570.24/854.62 = 496.80/x
  3. Step 3: Cross multiply
    570.24x = 854.62 × 496.80
  4. Step 4: Simplify right side
    570.24x = 424,575.22
  5. Step 5: Solve for x
    x = 424,575.22/570.24
  6. Step 6: Final answer
    x = 744.56

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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.