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Finding the Fourth Proportional to 693.45, 956.96 and 382.95

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Solution

The fourth proportional to 693.45, 956.96 and 382.95 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.45 : 956.96 = 382.95 : x
  2. Step 2: Convert to fraction form
    693.45/956.96 = 382.95/x
  3. Step 3: Cross multiply
    693.45x = 956.96 × 382.95
  4. Step 4: Simplify right side
    693.45x = 366,461.13
  5. Step 5: Solve for x
    x = 366,461.13/693.45
  6. Step 6: Final answer
    x = 528.46

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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.