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Finding the Fourth Proportional to 523.23, 784.85 and 407.40

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Solution

The fourth proportional to 523.23, 784.85 and 407.40 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.23 : 784.85 = 407.40 : x
  2. Step 2: Convert to fraction form
    523.23/784.85 = 407.40/x
  3. Step 3: Cross multiply
    523.23x = 784.85 × 407.40
  4. Step 4: Simplify right side
    523.23x = 319,747.89
  5. Step 5: Solve for x
    x = 319,747.89/523.23
  6. Step 6: Final answer
    x = 611.10

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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.