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Finding the Fourth Proportional to 523, 784.50 and 152.83

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Solution

The fourth proportional to 523, 784.50 and 152.83 is: 229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 784.50 = 152.83 : x
  2. Step 2: Convert to fraction form
    523/784.50 = 152.83/x
  3. Step 3: Cross multiply
    523x = 784.50 × 152.83
  4. Step 4: Simplify right side
    523x = 119,895.14
  5. Step 5: Solve for x
    x = 119,895.14/523
  6. Step 6: Final answer
    x = 229.25

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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.