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Finding the Fourth Proportional to 659.52, 909.94 and 393.88

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Solution

The fourth proportional to 659.52, 909.94 and 393.88 is: 543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 909.94 = 393.88 : x
  2. Step 2: Convert to fraction form
    659.52/909.94 = 393.88/x
  3. Step 3: Cross multiply
    659.52x = 909.94 × 393.88
  4. Step 4: Simplify right side
    659.52x = 358,407.17
  5. Step 5: Solve for x
    x = 358,407.17/659.52
  6. Step 6: Final answer
    x = 543.44

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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.