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Finding the Fourth Proportional to 620.08, 928.68 and 584.08

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Solution

The fourth proportional to 620.08, 928.68 and 584.08 is: 874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.08 : 928.68 = 584.08 : x
  2. Step 2: Convert to fraction form
    620.08/928.68 = 584.08/x
  3. Step 3: Cross multiply
    620.08x = 928.68 × 584.08
  4. Step 4: Simplify right side
    620.08x = 542,423.41
  5. Step 5: Solve for x
    x = 542,423.41/620.08
  6. Step 6: Final answer
    x = 874.76

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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.