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Finding the Fourth Proportional to 690.75, 953.24 and 380.25

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Solution

The fourth proportional to 690.75, 953.24 and 380.25 is: 524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 953.24 = 380.25 : x
  2. Step 2: Convert to fraction form
    690.75/953.24 = 380.25/x
  3. Step 3: Cross multiply
    690.75x = 953.24 × 380.25
  4. Step 4: Simplify right side
    690.75x = 362,467.61
  5. Step 5: Solve for x
    x = 362,467.61/690.75
  6. Step 6: Final answer
    x = 524.75

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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.