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Finding the Fourth Proportional to 505.58, 697.47 and 309.21

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Solution

The fourth proportional to 505.58, 697.47 and 309.21 is: 426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.58 : 697.47 = 309.21 : x
  2. Step 2: Convert to fraction form
    505.58/697.47 = 309.21/x
  3. Step 3: Cross multiply
    505.58x = 697.47 × 309.21
  4. Step 4: Simplify right side
    505.58x = 215,664.70
  5. Step 5: Solve for x
    x = 215,664.70/505.58
  6. Step 6: Final answer
    x = 426.57

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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.