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Finding the Fourth Proportional to 314.80, 434.37 and 210.04

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Solution

The fourth proportional to 314.80, 434.37 and 210.04 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.80 : 434.37 = 210.04 : x
  2. Step 2: Convert to fraction form
    314.80/434.37 = 210.04/x
  3. Step 3: Cross multiply
    314.80x = 434.37 × 210.04
  4. Step 4: Simplify right side
    314.80x = 91,235.07
  5. Step 5: Solve for x
    x = 91,235.07/314.80
  6. Step 6: Final answer
    x = 289.82

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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.