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Finding the Fourth Proportional to 630.46, 945.68 and 305.76

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Solution

The fourth proportional to 630.46, 945.68 and 305.76 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.46 : 945.68 = 305.76 : x
  2. Step 2: Convert to fraction form
    630.46/945.68 = 305.76/x
  3. Step 3: Cross multiply
    630.46x = 945.68 × 305.76
  4. Step 4: Simplify right side
    630.46x = 289,151.12
  5. Step 5: Solve for x
    x = 289,151.12/630.46
  6. Step 6: Final answer
    x = 458.64

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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.