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Finding the Fourth Proportional to 347.40, 520.42 and 210.04

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Solution

The fourth proportional to 347.40, 520.42 and 210.04 is: 314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 520.42 = 210.04 : x
  2. Step 2: Convert to fraction form
    347.40/520.42 = 210.04/x
  3. Step 3: Cross multiply
    347.40x = 520.42 × 210.04
  4. Step 4: Simplify right side
    347.40x = 109,309.02
  5. Step 5: Solve for x
    x = 109,309.02/347.40
  6. Step 6: Final answer
    x = 314.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.