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Finding the Fourth Proportional to 307.62, 463.56 and 304.86

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Solution

The fourth proportional to 307.62, 463.56 and 304.86 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.62 : 463.56 = 304.86 : x
  2. Step 2: Convert to fraction form
    307.62/463.56 = 304.86/x
  3. Step 3: Cross multiply
    307.62x = 463.56 × 304.86
  4. Step 4: Simplify right side
    307.62x = 141,320.90
  5. Step 5: Solve for x
    x = 141,320.90/307.62
  6. Step 6: Final answer
    x = 459.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.