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Finding the Fourth Proportional to 504.92, 696.60 and 295.06

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Solution

The fourth proportional to 504.92, 696.60 and 295.06 is: 407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 696.60 = 295.06 : x
  2. Step 2: Convert to fraction form
    504.92/696.60 = 295.06/x
  3. Step 3: Cross multiply
    504.92x = 696.60 × 295.06
  4. Step 4: Simplify right side
    504.92x = 205,538.36
  5. Step 5: Solve for x
    x = 205,538.36/504.92
  6. Step 6: Final answer
    x = 407.07

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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.