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Finding the Fourth Proportional to 690.99, 953.25 and 411.07

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Solution

The fourth proportional to 690.99, 953.25 and 411.07 is: 567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.99 : 953.25 = 411.07 : x
  2. Step 2: Convert to fraction form
    690.99/953.25 = 411.07/x
  3. Step 3: Cross multiply
    690.99x = 953.25 × 411.07
  4. Step 4: Simplify right side
    690.99x = 391,848.55
  5. Step 5: Solve for x
    x = 391,848.55/690.99
  6. Step 6: Final answer
    x = 567.08

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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.