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Finding the Fourth Proportional to 691.02, 953.54 and 411.22

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Solution

The fourth proportional to 691.02, 953.54 and 411.22 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.02 : 953.54 = 411.22 : x
  2. Step 2: Convert to fraction form
    691.02/953.54 = 411.22/x
  3. Step 3: Cross multiply
    691.02x = 953.54 × 411.22
  4. Step 4: Simplify right side
    691.02x = 392,112.84
  5. Step 5: Solve for x
    x = 392,112.84/691.02
  6. Step 6: Final answer
    x = 567.44

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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.