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Finding the Fourth Proportional to 424.10, 585.23 and 258.37

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Solution

The fourth proportional to 424.10, 585.23 and 258.37 is: 356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 585.23 = 258.37 : x
  2. Step 2: Convert to fraction form
    424.10/585.23 = 258.37/x
  3. Step 3: Cross multiply
    424.10x = 585.23 × 258.37
  4. Step 4: Simplify right side
    424.10x = 151,203.12
  5. Step 5: Solve for x
    x = 151,203.12/424.10
  6. Step 6: Final answer
    x = 356.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.