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Finding the Fourth Proportional to 712.32, 982.40 and 435.84

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Solution

The fourth proportional to 712.32, 982.40 and 435.84 is: 601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 982.40 = 435.84 : x
  2. Step 2: Convert to fraction form
    712.32/982.40 = 435.84/x
  3. Step 3: Cross multiply
    712.32x = 982.40 × 435.84
  4. Step 4: Simplify right side
    712.32x = 428,169.22
  5. Step 5: Solve for x
    x = 428,169.22/712.32
  6. Step 6: Final answer
    x = 601.09

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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.