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Finding the Fourth Proportional to 623.35, 860.07 and 413.45

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Solution

The fourth proportional to 623.35, 860.07 and 413.45 is: 570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.35 : 860.07 = 413.45 : x
  2. Step 2: Convert to fraction form
    623.35/860.07 = 413.45/x
  3. Step 3: Cross multiply
    623.35x = 860.07 × 413.45
  4. Step 4: Simplify right side
    623.35x = 355,598.93
  5. Step 5: Solve for x
    x = 355,598.93/623.35
  6. Step 6: Final answer
    x = 570.47

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