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Finding the Fourth Proportional to 477.80, 715.64 and 413.72

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Solution

The fourth proportional to 477.80, 715.64 and 413.72 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 715.64 = 413.72 : x
  2. Step 2: Convert to fraction form
    477.80/715.64 = 413.72/x
  3. Step 3: Cross multiply
    477.80x = 715.64 × 413.72
  4. Step 4: Simplify right side
    477.80x = 296,074.58
  5. Step 5: Solve for x
    x = 296,074.58/477.80
  6. Step 6: Final answer
    x = 619.66

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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.