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Finding the Fourth Proportional to 305.65, 459.13 and 265.99

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Solution

The fourth proportional to 305.65, 459.13 and 265.99 is: 399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 459.13 = 265.99 : x
  2. Step 2: Convert to fraction form
    305.65/459.13 = 265.99/x
  3. Step 3: Cross multiply
    305.65x = 459.13 × 265.99
  4. Step 4: Simplify right side
    305.65x = 122,123.99
  5. Step 5: Solve for x
    x = 122,123.99/305.65
  6. Step 6: Final answer
    x = 399.56

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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.