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Finding the Fourth Proportional to 524.64, 784.88 and 453.28

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Solution

The fourth proportional to 524.64, 784.88 and 453.28 is: 678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 784.88 = 453.28 : x
  2. Step 2: Convert to fraction form
    524.64/784.88 = 453.28/x
  3. Step 3: Cross multiply
    524.64x = 784.88 × 453.28
  4. Step 4: Simplify right side
    524.64x = 355,770.41
  5. Step 5: Solve for x
    x = 355,770.41/524.64
  6. Step 6: Final answer
    x = 678.12

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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.