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Finding the Fourth Proportional to 424.99, 586.47 and 238.51

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Solution

The fourth proportional to 424.99, 586.47 and 238.51 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.99 : 586.47 = 238.51 : x
  2. Step 2: Convert to fraction form
    424.99/586.47 = 238.51/x
  3. Step 3: Cross multiply
    424.99x = 586.47 × 238.51
  4. Step 4: Simplify right side
    424.99x = 139,880.59
  5. Step 5: Solve for x
    x = 139,880.59/424.99
  6. Step 6: Final answer
    x = 329.14

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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.