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Finding the Fourth Proportional to 690.77, 953.01 and 411.08

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Solution

The fourth proportional to 690.77, 953.01 and 411.08 is: 567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.77 : 953.01 = 411.08 : x
  2. Step 2: Convert to fraction form
    690.77/953.01 = 411.08/x
  3. Step 3: Cross multiply
    690.77x = 953.01 × 411.08
  4. Step 4: Simplify right side
    690.77x = 391,763.35
  5. Step 5: Solve for x
    x = 391,763.35/690.77
  6. Step 6: Final answer
    x = 567.14

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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.