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Finding the Fourth Proportional to 480.19, 718.53 and 306.85

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Solution

The fourth proportional to 480.19, 718.53 and 306.85 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.19 : 718.53 = 306.85 : x
  2. Step 2: Convert to fraction form
    480.19/718.53 = 306.85/x
  3. Step 3: Cross multiply
    480.19x = 718.53 × 306.85
  4. Step 4: Simplify right side
    480.19x = 220,480.93
  5. Step 5: Solve for x
    x = 220,480.93/480.19
  6. Step 6: Final answer
    x = 459.15

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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.