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Finding the Fourth Proportional to 660.53, 911.33 and 380.66

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Solution

The fourth proportional to 660.53, 911.33 and 380.66 is: 525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.53 : 911.33 = 380.66 : x
  2. Step 2: Convert to fraction form
    660.53/911.33 = 380.66/x
  3. Step 3: Cross multiply
    660.53x = 911.33 × 380.66
  4. Step 4: Simplify right side
    660.53x = 346,907.25
  5. Step 5: Solve for x
    x = 346,907.25/660.53
  6. Step 6: Final answer
    x = 525.19

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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.