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Finding the Fourth Proportional to 690.90, 953.37 and 411.23

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Solution

The fourth proportional to 690.90, 953.37 and 411.23 is: 567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.90 : 953.37 = 411.23 : x
  2. Step 2: Convert to fraction form
    690.90/953.37 = 411.23/x
  3. Step 3: Cross multiply
    690.90x = 953.37 × 411.23
  4. Step 4: Simplify right side
    690.90x = 392,049.91
  5. Step 5: Solve for x
    x = 392,049.91/690.90
  6. Step 6: Final answer
    x = 567.45

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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.