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Finding the Fourth Proportional to 434.13, 598.73 and 286.49

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Solution

The fourth proportional to 434.13, 598.73 and 286.49 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.13 : 598.73 = 286.49 : x
  2. Step 2: Convert to fraction form
    434.13/598.73 = 286.49/x
  3. Step 3: Cross multiply
    434.13x = 598.73 × 286.49
  4. Step 4: Simplify right side
    434.13x = 171,525.73
  5. Step 5: Solve for x
    x = 171,525.73/434.13
  6. Step 6: Final answer
    x = 395.10

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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.