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Finding the Fourth Proportional to 524.04, 723.05 and 314.28

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Solution

The fourth proportional to 524.04, 723.05 and 314.28 is: 433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 723.05 = 314.28 : x
  2. Step 2: Convert to fraction form
    524.04/723.05 = 314.28/x
  3. Step 3: Cross multiply
    524.04x = 723.05 × 314.28
  4. Step 4: Simplify right side
    524.04x = 227,238.58
  5. Step 5: Solve for x
    x = 227,238.58/524.04
  6. Step 6: Final answer
    x = 433.63

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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.