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Finding the Fourth Proportional to 364.80, 503.61 and 283.77

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Solution

The fourth proportional to 364.80, 503.61 and 283.77 is: 391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.80 : 503.61 = 283.77 : x
  2. Step 2: Convert to fraction form
    364.80/503.61 = 283.77/x
  3. Step 3: Cross multiply
    364.80x = 503.61 × 283.77
  4. Step 4: Simplify right side
    364.80x = 142,909.41
  5. Step 5: Solve for x
    x = 142,909.41/364.80
  6. Step 6: Final answer
    x = 391.75

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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.