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Finding the Fourth Proportional to 690.84, 953.14 and 411.16

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Solution

The fourth proportional to 690.84, 953.14 and 411.16 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 953.14 = 411.16 : x
  2. Step 2: Convert to fraction form
    690.84/953.14 = 411.16/x
  3. Step 3: Cross multiply
    690.84x = 953.14 × 411.16
  4. Step 4: Simplify right side
    690.84x = 391,893.04
  5. Step 5: Solve for x
    x = 391,893.04/690.84
  6. Step 6: Final answer
    x = 567.27

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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.