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Finding the Fourth Proportional to 504.81, 696.12 and 394.10

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Solution

The fourth proportional to 504.81, 696.12 and 394.10 is: 543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.81 : 696.12 = 394.10 : x
  2. Step 2: Convert to fraction form
    504.81/696.12 = 394.10/x
  3. Step 3: Cross multiply
    504.81x = 696.12 × 394.10
  4. Step 4: Simplify right side
    504.81x = 274,340.89
  5. Step 5: Solve for x
    x = 274,340.89/504.81
  6. Step 6: Final answer
    x = 543.45

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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.