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Finding the Fourth Proportional to 615.27, 926.00 and 462

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Solution

The fourth proportional to 615.27, 926.00 and 462 is: 695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.27 : 926.00 = 462 : x
  2. Step 2: Convert to fraction form
    615.27/926.00 = 462/x
  3. Step 3: Cross multiply
    615.27x = 926.00 × 462
  4. Step 4: Simplify right side
    615.27x = 427,813.16
  5. Step 5: Solve for x
    x = 427,813.16/615.27
  6. Step 6: Final answer
    x = 695.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.