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Finding the Fourth Proportional to 524.02, 723.14 and 287.98

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Solution

The fourth proportional to 524.02, 723.14 and 287.98 is: 397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.02 : 723.14 = 287.98 : x
  2. Step 2: Convert to fraction form
    524.02/723.14 = 287.98/x
  3. Step 3: Cross multiply
    524.02x = 723.14 × 287.98
  4. Step 4: Simplify right side
    524.02x = 208,249.86
  5. Step 5: Solve for x
    x = 208,249.86/524.02
  6. Step 6: Final answer
    x = 397.41

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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.