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Finding the Fourth Proportional to 586.17, 879.80 and 413.51

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Solution

The fourth proportional to 586.17, 879.80 and 413.51 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.17 : 879.80 = 413.51 : x
  2. Step 2: Convert to fraction form
    586.17/879.80 = 413.51/x
  3. Step 3: Cross multiply
    586.17x = 879.80 × 413.51
  4. Step 4: Simplify right side
    586.17x = 363,799.63
  5. Step 5: Solve for x
    x = 363,799.63/586.17
  6. Step 6: Final answer
    x = 620.64

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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.