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Finding the Fourth Proportional to 524.10, 724 and 419.05

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Solution

The fourth proportional to 524.10, 724 and 419.05 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 724 = 419.05 : x
  2. Step 2: Convert to fraction form
    524.10/724 = 419.05/x
  3. Step 3: Cross multiply
    524.10x = 724 × 419.05
  4. Step 4: Simplify right side
    524.10x = 303,392.20
  5. Step 5: Solve for x
    x = 303,392.20/524.10
  6. Step 6: Final answer
    x = 578.88

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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.