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Finding the Fourth Proportional to 502.55, 693.71 and 450

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Solution

The fourth proportional to 502.55, 693.71 and 450 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.55 : 693.71 = 450 : x
  2. Step 2: Convert to fraction form
    502.55/693.71 = 450/x
  3. Step 3: Cross multiply
    502.55x = 693.71 × 450
  4. Step 4: Simplify right side
    502.55x = 312,169.50
  5. Step 5: Solve for x
    x = 312,169.50/502.55
  6. Step 6: Final answer
    x = 621.17

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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.