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Finding the Fourth Proportional to 452.07, 673.47 and 424.13

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Solution

The fourth proportional to 452.07, 673.47 and 424.13 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 673.47 = 424.13 : x
  2. Step 2: Convert to fraction form
    452.07/673.47 = 424.13/x
  3. Step 3: Cross multiply
    452.07x = 673.47 × 424.13
  4. Step 4: Simplify right side
    452.07x = 285,635.46
  5. Step 5: Solve for x
    x = 285,635.46/452.07
  6. Step 6: Final answer
    x = 631.84

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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.