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Finding the Fourth Proportional to 947.58, 1,421.54 and 331.10

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Solution

The fourth proportional to 947.58, 1,421.54 and 331.10 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.58 : 1,421.54 = 331.10 : x
  2. Step 2: Convert to fraction form
    947.58/1,421.54 = 331.10/x
  3. Step 3: Cross multiply
    947.58x = 1,421.54 × 331.10
  4. Step 4: Simplify right side
    947.58x = 470,663.13
  5. Step 5: Solve for x
    x = 470,663.13/947.58
  6. Step 6: Final answer
    x = 496.70

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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.