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Finding the Fourth Proportional to 364.59, 503.19 and 209.34

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Solution

The fourth proportional to 364.59, 503.19 and 209.34 is: 288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.59 : 503.19 = 209.34 : x
  2. Step 2: Convert to fraction form
    364.59/503.19 = 209.34/x
  3. Step 3: Cross multiply
    364.59x = 503.19 × 209.34
  4. Step 4: Simplify right side
    364.59x = 105,337.79
  5. Step 5: Solve for x
    x = 105,337.79/364.59
  6. Step 6: Final answer
    x = 288.92

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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.