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Finding the Fourth Proportional to 659.34, 910.05 and 397.32

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Solution

The fourth proportional to 659.34, 910.05 and 397.32 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 910.05 = 397.32 : x
  2. Step 2: Convert to fraction form
    659.34/910.05 = 397.32/x
  3. Step 3: Cross multiply
    659.34x = 910.05 × 397.32
  4. Step 4: Simplify right side
    659.34x = 361,581.07
  5. Step 5: Solve for x
    x = 361,581.07/659.34
  6. Step 6: Final answer
    x = 548.40

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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.