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Finding the Fourth Proportional to 595.34, 892.82 and 413.90

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Solution

The fourth proportional to 595.34, 892.82 and 413.90 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 892.82 = 413.90 : x
  2. Step 2: Convert to fraction form
    595.34/892.82 = 413.90/x
  3. Step 3: Cross multiply
    595.34x = 892.82 × 413.90
  4. Step 4: Simplify right side
    595.34x = 369,538.20
  5. Step 5: Solve for x
    x = 369,538.20/595.34
  6. Step 6: Final answer
    x = 620.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.