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Finding the Fourth Proportional to 586.54, 879.18 and 413.20

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Solution

The fourth proportional to 586.54, 879.18 and 413.20 is: 619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.54 : 879.18 = 413.20 : x
  2. Step 2: Convert to fraction form
    586.54/879.18 = 413.20/x
  3. Step 3: Cross multiply
    586.54x = 879.18 × 413.20
  4. Step 4: Simplify right side
    586.54x = 363,277.18
  5. Step 5: Solve for x
    x = 363,277.18/586.54
  6. Step 6: Final answer
    x = 619.36

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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.