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Finding the Fourth Proportional to 332.60, 497.43 and 296.30

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Solution

The fourth proportional to 332.60, 497.43 and 296.30 is: 443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 497.43 = 296.30 : x
  2. Step 2: Convert to fraction form
    332.60/497.43 = 296.30/x
  3. Step 3: Cross multiply
    332.60x = 497.43 × 296.30
  4. Step 4: Simplify right side
    332.60x = 147,388.51
  5. Step 5: Solve for x
    x = 147,388.51/332.60
  6. Step 6: Final answer
    x = 443.14

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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.