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Finding the Fourth Proportional to 370.23, 509.40 and 295.58

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Solution

The fourth proportional to 370.23, 509.40 and 295.58 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.23 : 509.40 = 295.58 : x
  2. Step 2: Convert to fraction form
    370.23/509.40 = 295.58/x
  3. Step 3: Cross multiply
    370.23x = 509.40 × 295.58
  4. Step 4: Simplify right side
    370.23x = 150,565.91
  5. Step 5: Solve for x
    x = 150,565.91/370.23
  6. Step 6: Final answer
    x = 406.68

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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.