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Finding the Fourth Proportional to 460.67, 691.08 and 152.54

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Solution

The fourth proportional to 460.67, 691.08 and 152.54 is: 228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.67 : 691.08 = 152.54 : x
  2. Step 2: Convert to fraction form
    460.67/691.08 = 152.54/x
  3. Step 3: Cross multiply
    460.67x = 691.08 × 152.54
  4. Step 4: Simplify right side
    460.67x = 105,413.89
  5. Step 5: Solve for x
    x = 105,413.89/460.67
  6. Step 6: Final answer
    x = 228.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.