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Finding the Fourth Proportional to 690.88, 953.44 and 411.20

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Solution

The fourth proportional to 690.88, 953.44 and 411.20 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 953.44 = 411.20 : x
  2. Step 2: Convert to fraction form
    690.88/953.44 = 411.20/x
  3. Step 3: Cross multiply
    690.88x = 953.44 × 411.20
  4. Step 4: Simplify right side
    690.88x = 392,054.53
  5. Step 5: Solve for x
    x = 392,054.53/690.88
  6. Step 6: Final answer
    x = 567.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.