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Finding the Fourth Proportional to 502.50, 693.53 and 364.74

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Solution

The fourth proportional to 502.50, 693.53 and 364.74 is: 503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 693.53 = 364.74 : x
  2. Step 2: Convert to fraction form
    502.50/693.53 = 364.74/x
  3. Step 3: Cross multiply
    502.50x = 693.53 × 364.74
  4. Step 4: Simplify right side
    502.50x = 252,958.13
  5. Step 5: Solve for x
    x = 252,958.13/502.50
  6. Step 6: Final answer
    x = 503.40

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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.