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Finding the Fourth Proportional to 690.86, 953.40 and 380.36

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Solution

The fourth proportional to 690.86, 953.40 and 380.36 is: 524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 953.40 = 380.36 : x
  2. Step 2: Convert to fraction form
    690.86/953.40 = 380.36/x
  3. Step 3: Cross multiply
    690.86x = 953.40 × 380.36
  4. Step 4: Simplify right side
    690.86x = 362,635.22
  5. Step 5: Solve for x
    x = 362,635.22/690.86
  6. Step 6: Final answer
    x = 524.90

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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.