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Finding the Fourth Proportional to 558.17, 837.56 and 405.36

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Solution

The fourth proportional to 558.17, 837.56 and 405.36 is: 608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.17 : 837.56 = 405.36 : x
  2. Step 2: Convert to fraction form
    558.17/837.56 = 405.36/x
  3. Step 3: Cross multiply
    558.17x = 837.56 × 405.36
  4. Step 4: Simplify right side
    558.17x = 339,514.41
  5. Step 5: Solve for x
    x = 339,514.41/558.17
  6. Step 6: Final answer
    x = 608.26

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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.