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Finding the Fourth Proportional to 435.32, 600.48 and 280.16

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Solution

The fourth proportional to 435.32, 600.48 and 280.16 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.32 : 600.48 = 280.16 : x
  2. Step 2: Convert to fraction form
    435.32/600.48 = 280.16/x
  3. Step 3: Cross multiply
    435.32x = 600.48 × 280.16
  4. Step 4: Simplify right side
    435.32x = 168,230.48
  5. Step 5: Solve for x
    x = 168,230.48/435.32
  6. Step 6: Final answer
    x = 386.45

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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.