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Finding the Fourth Proportional to 524.36, 786.20 and 451.25

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Solution

The fourth proportional to 524.36, 786.20 and 451.25 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.36 : 786.20 = 451.25 : x
  2. Step 2: Convert to fraction form
    524.36/786.20 = 451.25/x
  3. Step 3: Cross multiply
    524.36x = 786.20 × 451.25
  4. Step 4: Simplify right side
    524.36x = 354,772.46
  5. Step 5: Solve for x
    x = 354,772.46/524.36
  6. Step 6: Final answer
    x = 676.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.