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Finding the Fourth Proportional to 509.76, 766.08 and 492.48

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Solution

The fourth proportional to 509.76, 766.08 and 492.48 is: 740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 766.08 = 492.48 : x
  2. Step 2: Convert to fraction form
    509.76/766.08 = 492.48/x
  3. Step 3: Cross multiply
    509.76x = 766.08 × 492.48
  4. Step 4: Simplify right side
    509.76x = 377,279.08
  5. Step 5: Solve for x
    x = 377,279.08/509.76
  6. Step 6: Final answer
    x = 740.11

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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.