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Finding the Fourth Proportional to 374.04, 560.71 and 343.29

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Solution

The fourth proportional to 374.04, 560.71 and 343.29 is: 514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.04 : 560.71 = 343.29 : x
  2. Step 2: Convert to fraction form
    374.04/560.71 = 343.29/x
  3. Step 3: Cross multiply
    374.04x = 560.71 × 343.29
  4. Step 4: Simplify right side
    374.04x = 192,486.14
  5. Step 5: Solve for x
    x = 192,486.14/374.04
  6. Step 6: Final answer
    x = 514.61

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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.