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Finding the Fourth Proportional to 504.23, 696.02 and 380.25

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Solution

The fourth proportional to 504.23, 696.02 and 380.25 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 696.02 = 380.25 : x
  2. Step 2: Convert to fraction form
    504.23/696.02 = 380.25/x
  3. Step 3: Cross multiply
    504.23x = 696.02 × 380.25
  4. Step 4: Simplify right side
    504.23x = 264,661.61
  5. Step 5: Solve for x
    x = 264,661.61/504.23
  6. Step 6: Final answer
    x = 524.88

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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.