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Finding the Fourth Proportional to 600.30, 898.43 and 527.40

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Solution

The fourth proportional to 600.30, 898.43 and 527.40 is: 789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 898.43 = 527.40 : x
  2. Step 2: Convert to fraction form
    600.30/898.43 = 527.40/x
  3. Step 3: Cross multiply
    600.30x = 898.43 × 527.40
  4. Step 4: Simplify right side
    600.30x = 473,829.35
  5. Step 5: Solve for x
    x = 473,829.35/600.30
  6. Step 6: Final answer
    x = 789.32

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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.