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Finding the Fourth Proportional to 347.16, 520.13 and 309.50

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Solution

The fourth proportional to 347.16, 520.13 and 309.50 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.16 : 520.13 = 309.50 : x
  2. Step 2: Convert to fraction form
    347.16/520.13 = 309.50/x
  3. Step 3: Cross multiply
    347.16x = 520.13 × 309.50
  4. Step 4: Simplify right side
    347.16x = 160,976.09
  5. Step 5: Solve for x
    x = 160,976.09/347.16
  6. Step 6: Final answer
    x = 463.69

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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.