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Finding the Fourth Proportional to 615.30, 926.58 and 462.36

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Solution

The fourth proportional to 615.30, 926.58 and 462.36 is: 696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.30 : 926.58 = 462.36 : x
  2. Step 2: Convert to fraction form
    615.30/926.58 = 462.36/x
  3. Step 3: Cross multiply
    615.30x = 926.58 × 462.36
  4. Step 4: Simplify right side
    615.30x = 428,413.53
  5. Step 5: Solve for x
    x = 428,413.53/615.30
  6. Step 6: Final answer
    x = 696.27

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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.