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Finding the Fourth Proportional to 631.77, 947.97 and 307.13

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Solution

The fourth proportional to 631.77, 947.97 and 307.13 is: 460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.77 : 947.97 = 307.13 : x
  2. Step 2: Convert to fraction form
    631.77/947.97 = 307.13/x
  3. Step 3: Cross multiply
    631.77x = 947.97 × 307.13
  4. Step 4: Simplify right side
    631.77x = 291,145.29
  5. Step 5: Solve for x
    x = 291,145.29/631.77
  6. Step 6: Final answer
    x = 460.84

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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.