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Finding the Fourth Proportional to 978.77, 1,468.05 and 329.51

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Solution

The fourth proportional to 978.77, 1,468.05 and 329.51 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.77 : 1,468.05 = 329.51 : x
  2. Step 2: Convert to fraction form
    978.77/1,468.05 = 329.51/x
  3. Step 3: Cross multiply
    978.77x = 1,468.05 × 329.51
  4. Step 4: Simplify right side
    978.77x = 483,729.82
  5. Step 5: Solve for x
    x = 483,729.82/978.77
  6. Step 6: Final answer
    x = 494.22

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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.