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Finding the Fourth Proportional to 595.42, 892.51 and 363.69

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Solution

The fourth proportional to 595.42, 892.51 and 363.69 is: 545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.42 : 892.51 = 363.69 : x
  2. Step 2: Convert to fraction form
    595.42/892.51 = 363.69/x
  3. Step 3: Cross multiply
    595.42x = 892.51 × 363.69
  4. Step 4: Simplify right side
    595.42x = 324,596.96
  5. Step 5: Solve for x
    x = 324,596.96/595.42
  6. Step 6: Final answer
    x = 545.16

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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.