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Finding the Fourth Proportional to 557.61, 835.64 and 461.27

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Solution

The fourth proportional to 557.61, 835.64 and 461.27 is: 691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.61 : 835.64 = 461.27 : x
  2. Step 2: Convert to fraction form
    557.61/835.64 = 461.27/x
  3. Step 3: Cross multiply
    557.61x = 835.64 × 461.27
  4. Step 4: Simplify right side
    557.61x = 385,455.66
  5. Step 5: Solve for x
    x = 385,455.66/557.61
  6. Step 6: Final answer
    x = 691.26

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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.