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Finding the Fourth Proportional to 306.16, 459.20 and 286.72

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Solution

The fourth proportional to 306.16, 459.20 and 286.72 is: 430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 459.20 = 286.72 : x
  2. Step 2: Convert to fraction form
    306.16/459.20 = 286.72/x
  3. Step 3: Cross multiply
    306.16x = 459.20 × 286.72
  4. Step 4: Simplify right side
    306.16x = 131,661.82
  5. Step 5: Solve for x
    x = 131,661.82/306.16
  6. Step 6: Final answer
    x = 430.04

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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.