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Finding the Fourth Proportional to 432.45, 597.27 and 285.74

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Solution

The fourth proportional to 432.45, 597.27 and 285.74 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.45 : 597.27 = 285.74 : x
  2. Step 2: Convert to fraction form
    432.45/597.27 = 285.74/x
  3. Step 3: Cross multiply
    432.45x = 597.27 × 285.74
  4. Step 4: Simplify right side
    432.45x = 170,664.25
  5. Step 5: Solve for x
    x = 170,664.25/432.45
  6. Step 6: Final answer
    x = 394.65

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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.