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Finding the Fourth Proportional to 523.64, 783.84 and 500.24

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Solution

The fourth proportional to 523.64, 783.84 and 500.24 is: 748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.64 : 783.84 = 500.24 : x
  2. Step 2: Convert to fraction form
    523.64/783.84 = 500.24/x
  3. Step 3: Cross multiply
    523.64x = 783.84 × 500.24
  4. Step 4: Simplify right side
    523.64x = 392,108.12
  5. Step 5: Solve for x
    x = 392,108.12/523.64
  6. Step 6: Final answer
    x = 748.81

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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.