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Finding the Fourth Proportional to 979.60, 1,468.40 and 402

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Solution

The fourth proportional to 979.60, 1,468.40 and 402 is: 602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.60 : 1,468.40 = 402 : x
  2. Step 2: Convert to fraction form
    979.60/1,468.40 = 402/x
  3. Step 3: Cross multiply
    979.60x = 1,468.40 × 402
  4. Step 4: Simplify right side
    979.60x = 590,296.80
  5. Step 5: Solve for x
    x = 590,296.80/979.60
  6. Step 6: Final answer
    x = 602.59

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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.