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Finding the Fourth Proportional to 483.13, 724.07 and 402.94

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Solution

The fourth proportional to 483.13, 724.07 and 402.94 is: 603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.13 : 724.07 = 402.94 : x
  2. Step 2: Convert to fraction form
    483.13/724.07 = 402.94/x
  3. Step 3: Cross multiply
    483.13x = 724.07 × 402.94
  4. Step 4: Simplify right side
    483.13x = 291,756.77
  5. Step 5: Solve for x
    x = 291,756.77/483.13
  6. Step 6: Final answer
    x = 603.89

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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.