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Finding the Fourth Proportional to 524.19, 723.33 and 288.09

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Solution

The fourth proportional to 524.19, 723.33 and 288.09 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 723.33 = 288.09 : x
  2. Step 2: Convert to fraction form
    524.19/723.33 = 288.09/x
  3. Step 3: Cross multiply
    524.19x = 723.33 × 288.09
  4. Step 4: Simplify right side
    524.19x = 208,384.14
  5. Step 5: Solve for x
    x = 208,384.14/524.19
  6. Step 6: Final answer
    x = 397.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.