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Finding the Fourth Proportional to 435.48, 601.10 and 258.49

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Solution

The fourth proportional to 435.48, 601.10 and 258.49 is: 356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 601.10 = 258.49 : x
  2. Step 2: Convert to fraction form
    435.48/601.10 = 258.49/x
  3. Step 3: Cross multiply
    435.48x = 601.10 × 258.49
  4. Step 4: Simplify right side
    435.48x = 155,378.34
  5. Step 5: Solve for x
    x = 155,378.34/435.48
  6. Step 6: Final answer
    x = 356.80

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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.