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Finding the Fourth Proportional to 424.01, 584.95 and 258.19

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Solution

The fourth proportional to 424.01, 584.95 and 258.19 is: 356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.01 : 584.95 = 258.19 : x
  2. Step 2: Convert to fraction form
    424.01/584.95 = 258.19/x
  3. Step 3: Cross multiply
    424.01x = 584.95 × 258.19
  4. Step 4: Simplify right side
    424.01x = 151,028.24
  5. Step 5: Solve for x
    x = 151,028.24/424.01
  6. Step 6: Final answer
    x = 356.19

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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.