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Finding the Fourth Proportional to 432.14, 596.53 and 284.51

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Solution

The fourth proportional to 432.14, 596.53 and 284.51 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 596.53 = 284.51 : x
  2. Step 2: Convert to fraction form
    432.14/596.53 = 284.51/x
  3. Step 3: Cross multiply
    432.14x = 596.53 × 284.51
  4. Step 4: Simplify right side
    432.14x = 169,720.60
  5. Step 5: Solve for x
    x = 169,720.60/432.14
  6. Step 6: Final answer
    x = 392.75

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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.