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Finding the Fourth Proportional to 509.58, 760.44 and 454.89

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Solution

The fourth proportional to 509.58, 760.44 and 454.89 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.58 : 760.44 = 454.89 : x
  2. Step 2: Convert to fraction form
    509.58/760.44 = 454.89/x
  3. Step 3: Cross multiply
    509.58x = 760.44 × 454.89
  4. Step 4: Simplify right side
    509.58x = 345,916.55
  5. Step 5: Solve for x
    x = 345,916.55/509.58
  6. Step 6: Final answer
    x = 678.83

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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.