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Finding the Fourth Proportional to 631.88, 947.64 and 343.16

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Solution

The fourth proportional to 631.88, 947.64 and 343.16 is: 514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.88 : 947.64 = 343.16 : x
  2. Step 2: Convert to fraction form
    631.88/947.64 = 343.16/x
  3. Step 3: Cross multiply
    631.88x = 947.64 × 343.16
  4. Step 4: Simplify right side
    631.88x = 325,192.14
  5. Step 5: Solve for x
    x = 325,192.14/631.88
  6. Step 6: Final answer
    x = 514.64

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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.