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Finding the Fourth Proportional to 478.79, 715.02 and 413.92

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Solution

The fourth proportional to 478.79, 715.02 and 413.92 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.79 : 715.02 = 413.92 : x
  2. Step 2: Convert to fraction form
    478.79/715.02 = 413.92/x
  3. Step 3: Cross multiply
    478.79x = 715.02 × 413.92
  4. Step 4: Simplify right side
    478.79x = 295,961.08
  5. Step 5: Solve for x
    x = 295,961.08/478.79
  6. Step 6: Final answer
    x = 618.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.