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Finding the Fourth Proportional to 432.85, 597.41 and 258.16

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Solution

The fourth proportional to 432.85, 597.41 and 258.16 is: 356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.85 : 597.41 = 258.16 : x
  2. Step 2: Convert to fraction form
    432.85/597.41 = 258.16/x
  3. Step 3: Cross multiply
    432.85x = 597.41 × 258.16
  4. Step 4: Simplify right side
    432.85x = 154,227.37
  5. Step 5: Solve for x
    x = 154,227.37/432.85
  6. Step 6: Final answer
    x = 356.31

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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.