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Finding the Fourth Proportional to 558.71, 771.01 and 310.01

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Solution

The fourth proportional to 558.71, 771.01 and 310.01 is: 427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.71 : 771.01 = 310.01 : x
  2. Step 2: Convert to fraction form
    558.71/771.01 = 310.01/x
  3. Step 3: Cross multiply
    558.71x = 771.01 × 310.01
  4. Step 4: Simplify right side
    558.71x = 239,020.81
  5. Step 5: Solve for x
    x = 239,020.81/558.71
  6. Step 6: Final answer
    x = 427.81

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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.