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Finding the Fourth Proportional to 502.50, 693.63 and 295.50

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Solution

The fourth proportional to 502.50, 693.63 and 295.50 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 693.63 = 295.50 : x
  2. Step 2: Convert to fraction form
    502.50/693.63 = 295.50/x
  3. Step 3: Cross multiply
    502.50x = 693.63 × 295.50
  4. Step 4: Simplify right side
    502.50x = 204,967.67
  5. Step 5: Solve for x
    x = 204,967.67/502.50
  6. Step 6: Final answer
    x = 407.90

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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.