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Finding the Fourth Proportional to 432.16, 596.65 and 285.05

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Solution

The fourth proportional to 432.16, 596.65 and 285.05 is: 393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 596.65 = 285.05 : x
  2. Step 2: Convert to fraction form
    432.16/596.65 = 285.05/x
  3. Step 3: Cross multiply
    432.16x = 596.65 × 285.05
  4. Step 4: Simplify right side
    432.16x = 170,072.10
  5. Step 5: Solve for x
    x = 170,072.10/432.16
  6. Step 6: Final answer
    x = 393.54

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Why These Related Problems?

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