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Finding the Fourth Proportional to 424.59, 632.14 and 418.51

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Solution

The fourth proportional to 424.59, 632.14 and 418.51 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.59 : 632.14 = 418.51 : x
  2. Step 2: Convert to fraction form
    424.59/632.14 = 418.51/x
  3. Step 3: Cross multiply
    424.59x = 632.14 × 418.51
  4. Step 4: Simplify right side
    424.59x = 264,556.91
  5. Step 5: Solve for x
    x = 264,556.91/424.59
  6. Step 6: Final answer
    x = 623.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.