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Finding the Fourth Proportional to 690.67, 953.08 and 380.17

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Solution

The fourth proportional to 690.67, 953.08 and 380.17 is: 524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.67 : 953.08 = 380.17 : x
  2. Step 2: Convert to fraction form
    690.67/953.08 = 380.17/x
  3. Step 3: Cross multiply
    690.67x = 953.08 × 380.17
  4. Step 4: Simplify right side
    690.67x = 362,332.42
  5. Step 5: Solve for x
    x = 362,332.42/690.67
  6. Step 6: Final answer
    x = 524.61

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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.