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Finding the Fourth Proportional to 659.21, 909.52 and 393.65

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Solution

The fourth proportional to 659.21, 909.52 and 393.65 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.21 : 909.52 = 393.65 : x
  2. Step 2: Convert to fraction form
    659.21/909.52 = 393.65/x
  3. Step 3: Cross multiply
    659.21x = 909.52 × 393.65
  4. Step 4: Simplify right side
    659.21x = 358,035.54
  5. Step 5: Solve for x
    x = 358,035.54/659.21
  6. Step 6: Final answer
    x = 543.13

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