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Finding the Fourth Proportional to 524.94, 723.51 and 393.72

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Solution

The fourth proportional to 524.94, 723.51 and 393.72 is: 542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 723.51 = 393.72 : x
  2. Step 2: Convert to fraction form
    524.94/723.51 = 393.72/x
  3. Step 3: Cross multiply
    524.94x = 723.51 × 393.72
  4. Step 4: Simplify right side
    524.94x = 284,860.36
  5. Step 5: Solve for x
    x = 284,860.36/524.94
  6. Step 6: Final answer
    x = 542.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.