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Finding the Fourth Proportional to 631.76, 946.94 and 306.40

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Solution

The fourth proportional to 631.76, 946.94 and 306.40 is: 459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.76 : 946.94 = 306.40 : x
  2. Step 2: Convert to fraction form
    631.76/946.94 = 306.40/x
  3. Step 3: Cross multiply
    631.76x = 946.94 × 306.40
  4. Step 4: Simplify right side
    631.76x = 290,142.42
  5. Step 5: Solve for x
    x = 290,142.42/631.76
  6. Step 6: Final answer
    x = 459.26

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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.