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Finding the Fourth Proportional to 610.86, 842.70 and 445

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Solution

The fourth proportional to 610.86, 842.70 and 445 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.86 : 842.70 = 445 : x
  2. Step 2: Convert to fraction form
    610.86/842.70 = 445/x
  3. Step 3: Cross multiply
    610.86x = 842.70 × 445
  4. Step 4: Simplify right side
    610.86x = 375,001.50
  5. Step 5: Solve for x
    x = 375,001.50/610.86
  6. Step 6: Final answer
    x = 613.89

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