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Finding the Fourth Proportional to 523.25, 784.80 and 248.93

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Solution

The fourth proportional to 523.25, 784.80 and 248.93 is: 373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.25 : 784.80 = 248.93 : x
  2. Step 2: Convert to fraction form
    523.25/784.80 = 248.93/x
  3. Step 3: Cross multiply
    523.25x = 784.80 × 248.93
  4. Step 4: Simplify right side
    523.25x = 195,356.34
  5. Step 5: Solve for x
    x = 195,356.34/523.25
  6. Step 6: Final answer
    x = 373.36

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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.