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Finding the Fourth Proportional to 690.57, 952.99 and 380.07

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Solution

The fourth proportional to 690.57, 952.99 and 380.07 is: 524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 952.99 = 380.07 : x
  2. Step 2: Convert to fraction form
    690.57/952.99 = 380.07/x
  3. Step 3: Cross multiply
    690.57x = 952.99 × 380.07
  4. Step 4: Simplify right side
    690.57x = 362,196.24
  5. Step 5: Solve for x
    x = 362,196.24/690.57
  6. Step 6: Final answer
    x = 524.49

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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.