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Finding the Fourth Proportional to 370.85, 508.06 and 357.01

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Solution

The fourth proportional to 370.85, 508.06 and 357.01 is: 489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.85 : 508.06 = 357.01 : x
  2. Step 2: Convert to fraction form
    370.85/508.06 = 357.01/x
  3. Step 3: Cross multiply
    370.85x = 508.06 × 357.01
  4. Step 4: Simplify right side
    370.85x = 181,379.96
  5. Step 5: Solve for x
    x = 181,379.96/370.85
  6. Step 6: Final answer
    x = 489.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.