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Finding the Fourth Proportional to 659.50, 909.72 and 397.48

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Solution

The fourth proportional to 659.50, 909.72 and 397.48 is: 548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.50 : 909.72 = 397.48 : x
  2. Step 2: Convert to fraction form
    659.50/909.72 = 397.48/x
  3. Step 3: Cross multiply
    659.50x = 909.72 × 397.48
  4. Step 4: Simplify right side
    659.50x = 361,595.51
  5. Step 5: Solve for x
    x = 361,595.51/659.50
  6. Step 6: Final answer
    x = 548.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.