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Finding the Fourth Proportional to 623.47, 859.72 and 413.58

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Solution

The fourth proportional to 623.47, 859.72 and 413.58 is: 570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.47 : 859.72 = 413.58 : x
  2. Step 2: Convert to fraction form
    623.47/859.72 = 413.58/x
  3. Step 3: Cross multiply
    623.47x = 859.72 × 413.58
  4. Step 4: Simplify right side
    623.47x = 355,561.96
  5. Step 5: Solve for x
    x = 355,561.96/623.47
  6. Step 6: Final answer
    x = 570.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.