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Finding the Fourth Proportional to 424.33, 585.32 and 258.65

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Solution

The fourth proportional to 424.33, 585.32 and 258.65 is: 356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.33 : 585.32 = 258.65 : x
  2. Step 2: Convert to fraction form
    424.33/585.32 = 258.65/x
  3. Step 3: Cross multiply
    424.33x = 585.32 × 258.65
  4. Step 4: Simplify right side
    424.33x = 151,393.19
  5. Step 5: Solve for x
    x = 151,393.19/424.33
  6. Step 6: Final answer
    x = 356.78

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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.