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Finding the Fourth Proportional to 659.02, 909.38 and 364.28

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Solution

The fourth proportional to 659.02, 909.38 and 364.28 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 909.38 = 364.28 : x
  2. Step 2: Convert to fraction form
    659.02/909.38 = 364.28/x
  3. Step 3: Cross multiply
    659.02x = 909.38 × 364.28
  4. Step 4: Simplify right side
    659.02x = 331,268.95
  5. Step 5: Solve for x
    x = 331,268.95/659.02
  6. Step 6: Final answer
    x = 502.67

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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.