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Finding the Fourth Proportional to 690.54, 952.94 and 410.91

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Solution

The fourth proportional to 690.54, 952.94 and 410.91 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.54 : 952.94 = 410.91 : x
  2. Step 2: Convert to fraction form
    690.54/952.94 = 410.91/x
  3. Step 3: Cross multiply
    690.54x = 952.94 × 410.91
  4. Step 4: Simplify right side
    690.54x = 391,570.52
  5. Step 5: Solve for x
    x = 391,570.52/690.54
  6. Step 6: Final answer
    x = 567.05

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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.