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Finding the Fourth Proportional to 501.84, 749.52 and 399.24

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Solution

The fourth proportional to 501.84, 749.52 and 399.24 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.84 : 749.52 = 399.24 : x
  2. Step 2: Convert to fraction form
    501.84/749.52 = 399.24/x
  3. Step 3: Cross multiply
    501.84x = 749.52 × 399.24
  4. Step 4: Simplify right side
    501.84x = 299,238.36
  5. Step 5: Solve for x
    x = 299,238.36/501.84
  6. Step 6: Final answer
    x = 596.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.