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Finding the Fourth Proportional to 462, 637.80 and 314.84

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Solution

The fourth proportional to 462, 637.80 and 314.84 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 637.80 = 314.84 : x
  2. Step 2: Convert to fraction form
    462/637.80 = 314.84/x
  3. Step 3: Cross multiply
    462x = 637.80 × 314.84
  4. Step 4: Simplify right side
    462x = 200,804.95
  5. Step 5: Solve for x
    x = 200,804.95/462
  6. Step 6: Final answer
    x = 434.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.