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Finding the Fourth Proportional to 659.07, 988.25 and 293.54

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Solution

The fourth proportional to 659.07, 988.25 and 293.54 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.07 : 988.25 = 293.54 : x
  2. Step 2: Convert to fraction form
    659.07/988.25 = 293.54/x
  3. Step 3: Cross multiply
    659.07x = 988.25 × 293.54
  4. Step 4: Simplify right side
    659.07x = 290,084.50
  5. Step 5: Solve for x
    x = 290,084.50/659.07
  6. Step 6: Final answer
    x = 440.14

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1.5x scale

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.