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Finding the Fourth Proportional to 570.98, 788.10 and 334.96

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Solution

The fourth proportional to 570.98, 788.10 and 334.96 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 788.10 = 334.96 : x
  2. Step 2: Convert to fraction form
    570.98/788.10 = 334.96/x
  3. Step 3: Cross multiply
    570.98x = 788.10 × 334.96
  4. Step 4: Simplify right side
    570.98x = 263,978.33
  5. Step 5: Solve for x
    x = 263,978.33/570.98
  6. Step 6: Final answer
    x = 462.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.