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Finding the Fourth Proportional to 462.69, 690.63 and 424.22

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Solution

The fourth proportional to 462.69, 690.63 and 424.22 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 690.63 = 424.22 : x
  2. Step 2: Convert to fraction form
    462.69/690.63 = 424.22/x
  3. Step 3: Cross multiply
    462.69x = 690.63 × 424.22
  4. Step 4: Simplify right side
    462.69x = 292,979.06
  5. Step 5: Solve for x
    x = 292,979.06/462.69
  6. Step 6: Final answer
    x = 633.21

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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.