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Finding the Fourth Proportional to 505.53, 697.65 and 309.15

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Solution

The fourth proportional to 505.53, 697.65 and 309.15 is: 426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 697.65 = 309.15 : x
  2. Step 2: Convert to fraction form
    505.53/697.65 = 309.15/x
  3. Step 3: Cross multiply
    505.53x = 697.65 × 309.15
  4. Step 4: Simplify right side
    505.53x = 215,676.95
  5. Step 5: Solve for x
    x = 215,676.95/505.53
  6. Step 6: Final answer
    x = 426.64

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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.