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Finding the Fourth Proportional to 424.89, 586.91 and 355.19

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Solution

The fourth proportional to 424.89, 586.91 and 355.19 is: 490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 586.91 = 355.19 : x
  2. Step 2: Convert to fraction form
    424.89/586.91 = 355.19/x
  3. Step 3: Cross multiply
    424.89x = 586.91 × 355.19
  4. Step 4: Simplify right side
    424.89x = 208,462.52
  5. Step 5: Solve for x
    x = 208,462.52/424.89
  6. Step 6: Final answer
    x = 490.63

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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.