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Finding the Fourth Proportional to 462.12, 688.94 and 425.58

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Solution

The fourth proportional to 462.12, 688.94 and 425.58 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.12 : 688.94 = 425.58 : x
  2. Step 2: Convert to fraction form
    462.12/688.94 = 425.58/x
  3. Step 3: Cross multiply
    462.12x = 688.94 × 425.58
  4. Step 4: Simplify right side
    462.12x = 293,196.96
  5. Step 5: Solve for x
    x = 293,196.96/462.12
  6. Step 6: Final answer
    x = 634.46

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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.