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Finding the Fourth Proportional to 523.65, 784.79 and 215.07

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Solution

The fourth proportional to 523.65, 784.79 and 215.07 is: 322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 784.79 = 215.07 : x
  2. Step 2: Convert to fraction form
    523.65/784.79 = 215.07/x
  3. Step 3: Cross multiply
    523.65x = 784.79 × 215.07
  4. Step 4: Simplify right side
    523.65x = 168,783.71
  5. Step 5: Solve for x
    x = 168,783.71/523.65
  6. Step 6: Final answer
    x = 322.32

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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.