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Finding the Fourth Proportional to 493.32, 678.60 and 473.34

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Solution

The fourth proportional to 493.32, 678.60 and 473.34 is: 651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.32 : 678.60 = 473.34 : x
  2. Step 2: Convert to fraction form
    493.32/678.60 = 473.34/x
  3. Step 3: Cross multiply
    493.32x = 678.60 × 473.34
  4. Step 4: Simplify right side
    493.32x = 321,208.52
  5. Step 5: Solve for x
    x = 321,208.52/493.32
  6. Step 6: Final answer
    x = 651.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.