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Finding the Fourth Proportional to 306.23, 459.54 and 305.10

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Solution

The fourth proportional to 306.23, 459.54 and 305.10 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.23 : 459.54 = 305.10 : x
  2. Step 2: Convert to fraction form
    306.23/459.54 = 305.10/x
  3. Step 3: Cross multiply
    306.23x = 459.54 × 305.10
  4. Step 4: Simplify right side
    306.23x = 140,205.65
  5. Step 5: Solve for x
    x = 140,205.65/306.23
  6. Step 6: Final answer
    x = 457.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.