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Finding the Fourth Proportional to 424.63, 586.07 and 258.96

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Solution

The fourth proportional to 424.63, 586.07 and 258.96 is: 357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.63 : 586.07 = 258.96 : x
  2. Step 2: Convert to fraction form
    424.63/586.07 = 258.96/x
  3. Step 3: Cross multiply
    424.63x = 586.07 × 258.96
  4. Step 4: Simplify right side
    424.63x = 151,768.69
  5. Step 5: Solve for x
    x = 151,768.69/424.63
  6. Step 6: Final answer
    x = 357.41

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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.