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Finding the Fourth Proportional to 558.77, 838.16 and 475.74

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Solution

The fourth proportional to 558.77, 838.16 and 475.74 is: 713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.77 : 838.16 = 475.74 : x
  2. Step 2: Convert to fraction form
    558.77/838.16 = 475.74/x
  3. Step 3: Cross multiply
    558.77x = 838.16 × 475.74
  4. Step 4: Simplify right side
    558.77x = 398,744.00
  5. Step 5: Solve for x
    x = 398,744.00/558.77
  6. Step 6: Final answer
    x = 713.60

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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.