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Finding the Fourth Proportional to 432.81, 597.33 and 322.65

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Solution

The fourth proportional to 432.81, 597.33 and 322.65 is: 445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.81 : 597.33 = 322.65 : x
  2. Step 2: Convert to fraction form
    432.81/597.33 = 322.65/x
  3. Step 3: Cross multiply
    432.81x = 597.33 × 322.65
  4. Step 4: Simplify right side
    432.81x = 192,728.52
  5. Step 5: Solve for x
    x = 192,728.52/432.81
  6. Step 6: Final answer
    x = 445.30

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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.