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Finding the Fourth Proportional to 524.14, 723.28 and 314.28

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Solution

The fourth proportional to 524.14, 723.28 and 314.28 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 723.28 = 314.28 : x
  2. Step 2: Convert to fraction form
    524.14/723.28 = 314.28/x
  3. Step 3: Cross multiply
    524.14x = 723.28 × 314.28
  4. Step 4: Simplify right side
    524.14x = 227,312.44
  5. Step 5: Solve for x
    x = 227,312.44/524.14
  6. Step 6: Final answer
    x = 433.69

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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.