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Finding the Fourth Proportional to 435.57, 600.93 and 258.49

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Solution

The fourth proportional to 435.57, 600.93 and 258.49 is: 356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.57 : 600.93 = 258.49 : x
  2. Step 2: Convert to fraction form
    435.57/600.93 = 258.49/x
  3. Step 3: Cross multiply
    435.57x = 600.93 × 258.49
  4. Step 4: Simplify right side
    435.57x = 155,334.40
  5. Step 5: Solve for x
    x = 155,334.40/435.57
  6. Step 6: Final answer
    x = 356.62

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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.