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Finding the Fourth Proportional to 978.35, 1,467.74 and 362.06

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Solution

The fourth proportional to 978.35, 1,467.74 and 362.06 is: 543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.35 : 1,467.74 = 362.06 : x
  2. Step 2: Convert to fraction form
    978.35/1,467.74 = 362.06/x
  3. Step 3: Cross multiply
    978.35x = 1,467.74 × 362.06
  4. Step 4: Simplify right side
    978.35x = 531,411.80
  5. Step 5: Solve for x
    x = 531,411.80/978.35
  6. Step 6: Final answer
    x = 543.17

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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.