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Finding the Fourth Proportional to 631.38, 946.67 and 302.14

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Solution

The fourth proportional to 631.38, 946.67 and 302.14 is: 453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.38 : 946.67 = 302.14 : x
  2. Step 2: Convert to fraction form
    631.38/946.67 = 302.14/x
  3. Step 3: Cross multiply
    631.38x = 946.67 × 302.14
  4. Step 4: Simplify right side
    631.38x = 286,026.55
  5. Step 5: Solve for x
    x = 286,026.55/631.38
  6. Step 6: Final answer
    x = 453.02

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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.