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Finding the Fourth Proportional to 595.96, 898.01 and 490.12

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Solution

The fourth proportional to 595.96, 898.01 and 490.12 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.96 : 898.01 = 490.12 : x
  2. Step 2: Convert to fraction form
    595.96/898.01 = 490.12/x
  3. Step 3: Cross multiply
    595.96x = 898.01 × 490.12
  4. Step 4: Simplify right side
    595.96x = 440,132.66
  5. Step 5: Solve for x
    x = 440,132.66/595.96
  6. Step 6: Final answer
    x = 738.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.