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Finding the Fourth Proportional to 390.60, 587.07 and 261.03

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Solution

The fourth proportional to 390.60, 587.07 and 261.03 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.60 : 587.07 = 261.03 : x
  2. Step 2: Convert to fraction form
    390.60/587.07 = 261.03/x
  3. Step 3: Cross multiply
    390.60x = 587.07 × 261.03
  4. Step 4: Simplify right side
    390.60x = 153,242.88
  5. Step 5: Solve for x
    x = 153,242.88/390.60
  6. Step 6: Final answer
    x = 392.33

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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.