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Finding the Fourth Proportional to 523.53, 784.61 and 292.30

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Solution

The fourth proportional to 523.53, 784.61 and 292.30 is: 438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.53 : 784.61 = 292.30 : x
  2. Step 2: Convert to fraction form
    523.53/784.61 = 292.30/x
  3. Step 3: Cross multiply
    523.53x = 784.61 × 292.30
  4. Step 4: Simplify right side
    523.53x = 229,341.50
  5. Step 5: Solve for x
    x = 229,341.50/523.53
  6. Step 6: Final answer
    x = 438.07

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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.