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Finding the Fourth Proportional to 524.63, 723.20 and 400.01

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Solution

The fourth proportional to 524.63, 723.20 and 400.01 is: 551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 723.20 = 400.01 : x
  2. Step 2: Convert to fraction form
    524.63/723.20 = 400.01/x
  3. Step 3: Cross multiply
    524.63x = 723.20 × 400.01
  4. Step 4: Simplify right side
    524.63x = 289,287.23
  5. Step 5: Solve for x
    x = 289,287.23/524.63
  6. Step 6: Final answer
    x = 551.41

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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.