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Finding the Fourth Proportional to 435.47, 601.05 and 279.95

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Solution

The fourth proportional to 435.47, 601.05 and 279.95 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.47 : 601.05 = 279.95 : x
  2. Step 2: Convert to fraction form
    435.47/601.05 = 279.95/x
  3. Step 3: Cross multiply
    435.47x = 601.05 × 279.95
  4. Step 4: Simplify right side
    435.47x = 168,259.54
  5. Step 5: Solve for x
    x = 168,259.54/435.47
  6. Step 6: Final answer
    x = 386.39

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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.