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Finding the Fourth Proportional to 524.02, 722.49 and 384.02

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Solution

The fourth proportional to 524.02, 722.49 and 384.02 is: 529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 722.49 = 384.02 : x
  2. Step 2: Convert to fraction form
    524.02/722.49 = 384.02/x
  3. Step 3: Cross multiply
    524.02x = 722.49 × 384.02
  4. Step 4: Simplify right side
    524.02x = 277,450.61
  5. Step 5: Solve for x
    x = 277,450.61/524.02
  6. Step 6: Final answer
    x = 529.47

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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.