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Finding the Fourth Proportional to 430.41, 596.92 and 403.68

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Solution

The fourth proportional to 430.41, 596.92 and 403.68 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.41 : 596.92 = 403.68 : x
  2. Step 2: Convert to fraction form
    430.41/596.92 = 403.68/x
  3. Step 3: Cross multiply
    430.41x = 596.92 × 403.68
  4. Step 4: Simplify right side
    430.41x = 240,964.67
  5. Step 5: Solve for x
    x = 240,964.67/430.41
  6. Step 6: Final answer
    x = 559.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.