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Finding the Fourth Proportional to 558.94, 837.32 and 461.58

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Solution

The fourth proportional to 558.94, 837.32 and 461.58 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.94 : 837.32 = 461.58 : x
  2. Step 2: Convert to fraction form
    558.94/837.32 = 461.58/x
  3. Step 3: Cross multiply
    558.94x = 837.32 × 461.58
  4. Step 4: Simplify right side
    558.94x = 386,490.17
  5. Step 5: Solve for x
    x = 386,490.17/558.94
  6. Step 6: Final answer
    x = 691.47

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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.