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Finding the Fourth Proportional to 652.41, 978.84 and 328.05

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Solution

The fourth proportional to 652.41, 978.84 and 328.05 is: 492.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.41 : 978.84 = 328.05 : x
  2. Step 2: Convert to fraction form
    652.41/978.84 = 328.05/x
  3. Step 3: Cross multiply
    652.41x = 978.84 × 328.05
  4. Step 4: Simplify right side
    652.41x = 321,108.46
  5. Step 5: Solve for x
    x = 321,108.46/652.41
  6. Step 6: Final answer
    x = 492.19

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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.