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Finding the Fourth Proportional to 524.05, 723.31 and 347.05

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Solution

The fourth proportional to 524.05, 723.31 and 347.05 is: 479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.05 : 723.31 = 347.05 : x
  2. Step 2: Convert to fraction form
    524.05/723.31 = 347.05/x
  3. Step 3: Cross multiply
    524.05x = 723.31 × 347.05
  4. Step 4: Simplify right side
    524.05x = 251,024.74
  5. Step 5: Solve for x
    x = 251,024.74/524.05
  6. Step 6: Final answer
    x = 479.01

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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.