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Finding the Fourth Proportional to 544.63, 751.59 and 311.77

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Solution

The fourth proportional to 544.63, 751.59 and 311.77 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.63 : 751.59 = 311.77 : x
  2. Step 2: Convert to fraction form
    544.63/751.59 = 311.77/x
  3. Step 3: Cross multiply
    544.63x = 751.59 × 311.77
  4. Step 4: Simplify right side
    544.63x = 234,323.21
  5. Step 5: Solve for x
    x = 234,323.21/544.63
  6. Step 6: Final answer
    x = 430.24

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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.