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Finding the Fourth Proportional to 602.92, 904.38 and 523.24

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Solution

The fourth proportional to 602.92, 904.38 and 523.24 is: 784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.92 : 904.38 = 523.24 : x
  2. Step 2: Convert to fraction form
    602.92/904.38 = 523.24/x
  3. Step 3: Cross multiply
    602.92x = 904.38 × 523.24
  4. Step 4: Simplify right side
    602.92x = 473,207.79
  5. Step 5: Solve for x
    x = 473,207.79/602.92
  6. Step 6: Final answer
    x = 784.86

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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.