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Finding the Fourth Proportional to 504.97, 696.84 and 295.16

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Solution

The fourth proportional to 504.97, 696.84 and 295.16 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.97 : 696.84 = 295.16 : x
  2. Step 2: Convert to fraction form
    504.97/696.84 = 295.16/x
  3. Step 3: Cross multiply
    504.97x = 696.84 × 295.16
  4. Step 4: Simplify right side
    504.97x = 205,679.29
  5. Step 5: Solve for x
    x = 205,679.29/504.97
  6. Step 6: Final answer
    x = 407.31

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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.