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Finding the Fourth Proportional to 558.84, 834.84 and 362.22

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Solution

The fourth proportional to 558.84, 834.84 and 362.22 is: 541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.84 : 834.84 = 362.22 : x
  2. Step 2: Convert to fraction form
    558.84/834.84 = 362.22/x
  3. Step 3: Cross multiply
    558.84x = 834.84 × 362.22
  4. Step 4: Simplify right side
    558.84x = 302,395.74
  5. Step 5: Solve for x
    x = 302,395.74/558.84
  6. Step 6: Final answer
    x = 541.11

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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.