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Finding the Fourth Proportional to 658.03, 985.69 and 293.08

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Solution

The fourth proportional to 658.03, 985.69 and 293.08 is: 439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.03 : 985.69 = 293.08 : x
  2. Step 2: Convert to fraction form
    658.03/985.69 = 293.08/x
  3. Step 3: Cross multiply
    658.03x = 985.69 × 293.08
  4. Step 4: Simplify right side
    658.03x = 288,879.63
  5. Step 5: Solve for x
    x = 288,879.63/658.03
  6. Step 6: Final answer
    x = 439.01

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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.