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Finding the Fourth Proportional to 570.74, 855.37 and 497.30

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Solution

The fourth proportional to 570.74, 855.37 and 497.30 is: 745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 855.37 = 497.30 : x
  2. Step 2: Convert to fraction form
    570.74/855.37 = 497.30/x
  3. Step 3: Cross multiply
    570.74x = 855.37 × 497.30
  4. Step 4: Simplify right side
    570.74x = 425,375.50
  5. Step 5: Solve for x
    x = 425,375.50/570.74
  6. Step 6: Final answer
    x = 745.31

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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.