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Finding the Fourth Proportional to 505.14, 697.16 and 295.34

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Solution

The fourth proportional to 505.14, 697.16 and 295.34 is: 407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.14 : 697.16 = 295.34 : x
  2. Step 2: Convert to fraction form
    505.14/697.16 = 295.34/x
  3. Step 3: Cross multiply
    505.14x = 697.16 × 295.34
  4. Step 4: Simplify right side
    505.14x = 205,899.23
  5. Step 5: Solve for x
    x = 205,899.23/505.14
  6. Step 6: Final answer
    x = 407.61

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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.