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Finding the Fourth Proportional to 690.88, 953.46 and 380.38

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Solution

The fourth proportional to 690.88, 953.46 and 380.38 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.88 : 953.46 = 380.38 : x
  2. Step 2: Convert to fraction form
    690.88/953.46 = 380.38/x
  3. Step 3: Cross multiply
    690.88x = 953.46 × 380.38
  4. Step 4: Simplify right side
    690.88x = 362,677.11
  5. Step 5: Solve for x
    x = 362,677.11/690.88
  6. Step 6: Final answer
    x = 524.95

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1.5x scale

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.