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Finding the Fourth Proportional to 505.53, 758.34 and 312.75

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Solution

The fourth proportional to 505.53, 758.34 and 312.75 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.53 : 758.34 = 312.75 : x
  2. Step 2: Convert to fraction form
    505.53/758.34 = 312.75/x
  3. Step 3: Cross multiply
    505.53x = 758.34 × 312.75
  4. Step 4: Simplify right side
    505.53x = 237,170.84
  5. Step 5: Solve for x
    x = 237,170.84/505.53
  6. Step 6: Final answer
    x = 469.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.