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Finding the Fourth Proportional to 558.67, 771.01 and 310.00

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Solution

The fourth proportional to 558.67, 771.01 and 310.00 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.67 : 771.01 = 310.00 : x
  2. Step 2: Convert to fraction form
    558.67/771.01 = 310.00/x
  3. Step 3: Cross multiply
    558.67x = 771.01 × 310.00
  4. Step 4: Simplify right side
    558.67x = 239,009.24
  5. Step 5: Solve for x
    x = 239,009.24/558.67
  6. Step 6: Final answer
    x = 427.82

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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.