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Finding the Fourth Proportional to 464.70, 696.45 and 413.10

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Solution

The fourth proportional to 464.70, 696.45 and 413.10 is: 619.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.70 : 696.45 = 413.10 : x
  2. Step 2: Convert to fraction form
    464.70/696.45 = 413.10/x
  3. Step 3: Cross multiply
    464.70x = 696.45 × 413.10
  4. Step 4: Simplify right side
    464.70x = 287,703.50
  5. Step 5: Solve for x
    x = 287,703.50/464.70
  6. Step 6: Final answer
    x = 619.12

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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.