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Finding the Fourth Proportional to 524.40, 723.62 and 400.14

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Solution

The fourth proportional to 524.40, 723.62 and 400.14 is: 552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.40 : 723.62 = 400.14 : x
  2. Step 2: Convert to fraction form
    524.40/723.62 = 400.14/x
  3. Step 3: Cross multiply
    524.40x = 723.62 × 400.14
  4. Step 4: Simplify right side
    524.40x = 289,549.31
  5. Step 5: Solve for x
    x = 289,549.31/524.40
  6. Step 6: Final answer
    x = 552.15

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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.