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Finding the Fourth Proportional to 509.64, 761.14 and 481.70

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Solution

The fourth proportional to 509.64, 761.14 and 481.70 is: 719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 761.14 = 481.70 : x
  2. Step 2: Convert to fraction form
    509.64/761.14 = 481.70/x
  3. Step 3: Cross multiply
    509.64x = 761.14 × 481.70
  4. Step 4: Simplify right side
    509.64x = 366,636.13
  5. Step 5: Solve for x
    x = 366,636.13/509.64
  6. Step 6: Final answer
    x = 719.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.