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Finding the Fourth Proportional to 500.52, 690.70 and 314.11

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Solution

The fourth proportional to 500.52, 690.70 and 314.11 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 690.70 = 314.11 : x
  2. Step 2: Convert to fraction form
    500.52/690.70 = 314.11/x
  3. Step 3: Cross multiply
    500.52x = 690.70 × 314.11
  4. Step 4: Simplify right side
    500.52x = 216,954.21
  5. Step 5: Solve for x
    x = 216,954.21/500.52
  6. Step 6: Final answer
    x = 433.46

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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.