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Finding the Fourth Proportional to 604.24, 904.20 and 523.36

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Solution

The fourth proportional to 604.24, 904.20 and 523.36 is: 783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 904.20 = 523.36 : x
  2. Step 2: Convert to fraction form
    604.24/904.20 = 523.36/x
  3. Step 3: Cross multiply
    604.24x = 904.20 × 523.36
  4. Step 4: Simplify right side
    604.24x = 473,222.11
  5. Step 5: Solve for x
    x = 473,222.11/604.24
  6. Step 6: Final answer
    x = 783.17

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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.