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Finding the Fourth Proportional to 608.64, 912.64 and 523.52

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Solution

The fourth proportional to 608.64, 912.64 and 523.52 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.64 : 912.64 = 523.52 : x
  2. Step 2: Convert to fraction form
    608.64/912.64 = 523.52/x
  3. Step 3: Cross multiply
    608.64x = 912.64 × 523.52
  4. Step 4: Simplify right side
    608.64x = 477,785.29
  5. Step 5: Solve for x
    x = 477,785.29/608.64
  6. Step 6: Final answer
    x = 785.00

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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.