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Finding the Fourth Proportional to 558.94, 832.14 and 556.24

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Solution

The fourth proportional to 558.94, 832.14 and 556.24 is: 828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.94 : 832.14 = 556.24 : x
  2. Step 2: Convert to fraction form
    558.94/832.14 = 556.24/x
  3. Step 3: Cross multiply
    558.94x = 832.14 × 556.24
  4. Step 4: Simplify right side
    558.94x = 462,869.55
  5. Step 5: Solve for x
    x = 462,869.55/558.94
  6. Step 6: Final answer
    x = 828.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.