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Finding the Fourth Proportional to 978.34, 1,467.14 and 320.06

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Solution

The fourth proportional to 978.34, 1,467.14 and 320.06 is: 479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.34 : 1,467.14 = 320.06 : x
  2. Step 2: Convert to fraction form
    978.34/1,467.14 = 320.06/x
  3. Step 3: Cross multiply
    978.34x = 1,467.14 × 320.06
  4. Step 4: Simplify right side
    978.34x = 469,563.89
  5. Step 5: Solve for x
    x = 469,563.89/978.34
  6. Step 6: Final answer
    x = 479.96

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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.