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Finding the Fourth Proportional to 524.02, 723.27 and 384.34

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Solution

The fourth proportional to 524.02, 723.27 and 384.34 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 723.27 = 384.34 : x
  2. Step 2: Convert to fraction form
    524.02/723.27 = 384.34/x
  3. Step 3: Cross multiply
    524.02x = 723.27 × 384.34
  4. Step 4: Simplify right side
    524.02x = 277,981.59
  5. Step 5: Solve for x
    x = 277,981.59/524.02
  6. Step 6: Final answer
    x = 530.48

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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.