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Finding the Fourth Proportional to 631.82, 946.47 and 306.20

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Solution

The fourth proportional to 631.82, 946.47 and 306.20 is: 458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 946.47 = 306.20 : x
  2. Step 2: Convert to fraction form
    631.82/946.47 = 306.20/x
  3. Step 3: Cross multiply
    631.82x = 946.47 × 306.20
  4. Step 4: Simplify right side
    631.82x = 289,809.11
  5. Step 5: Solve for x
    x = 289,809.11/631.82
  6. Step 6: Final answer
    x = 458.69

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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.