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Finding the Fourth Proportional to 424.42, 633.50 and 394.39

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Solution

The fourth proportional to 424.42, 633.50 and 394.39 is: 588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.42 : 633.50 = 394.39 : x
  2. Step 2: Convert to fraction form
    424.42/633.50 = 394.39/x
  3. Step 3: Cross multiply
    424.42x = 633.50 × 394.39
  4. Step 4: Simplify right side
    424.42x = 249,846.07
  5. Step 5: Solve for x
    x = 249,846.07/424.42
  6. Step 6: Final answer
    x = 588.68

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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.