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Finding the Fourth Proportional to 501.35, 752.47 and 399.74

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Solution

The fourth proportional to 501.35, 752.47 and 399.74 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.35 : 752.47 = 399.74 : x
  2. Step 2: Convert to fraction form
    501.35/752.47 = 399.74/x
  3. Step 3: Cross multiply
    501.35x = 752.47 × 399.74
  4. Step 4: Simplify right side
    501.35x = 300,787.60
  5. Step 5: Solve for x
    x = 300,787.60/501.35
  6. Step 6: Final answer
    x = 599.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.