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Finding the Fourth Proportional to 504.93, 696.53 and 325.54

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Solution

The fourth proportional to 504.93, 696.53 and 325.54 is: 449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 696.53 = 325.54 : x
  2. Step 2: Convert to fraction form
    504.93/696.53 = 325.54/x
  3. Step 3: Cross multiply
    504.93x = 696.53 × 325.54
  4. Step 4: Simplify right side
    504.93x = 226,746.14
  5. Step 5: Solve for x
    x = 226,746.14/504.93
  6. Step 6: Final answer
    x = 449.06

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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.