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Finding the Fourth Proportional to 690.62, 953.03 and 410.88

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Solution

The fourth proportional to 690.62, 953.03 and 410.88 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.62 : 953.03 = 410.88 : x
  2. Step 2: Convert to fraction form
    690.62/953.03 = 410.88/x
  3. Step 3: Cross multiply
    690.62x = 953.03 × 410.88
  4. Step 4: Simplify right side
    690.62x = 391,581.99
  5. Step 5: Solve for x
    x = 391,581.99/690.62
  6. Step 6: Final answer
    x = 567.00

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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.