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Finding the Fourth Proportional to 364.88, 503.52 and 209.60

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Solution

The fourth proportional to 364.88, 503.52 and 209.60 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 503.52 = 209.60 : x
  2. Step 2: Convert to fraction form
    364.88/503.52 = 209.60/x
  3. Step 3: Cross multiply
    364.88x = 503.52 × 209.60
  4. Step 4: Simplify right side
    364.88x = 105,537.79
  5. Step 5: Solve for x
    x = 105,537.79/364.88
  6. Step 6: Final answer
    x = 289.24

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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.