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Finding the Fourth Proportional to 690.42, 1,035.32 and 365.71

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Solution

The fourth proportional to 690.42, 1,035.32 and 365.71 is: 548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.42 : 1,035.32 = 365.71 : x
  2. Step 2: Convert to fraction form
    690.42/1,035.32 = 365.71/x
  3. Step 3: Cross multiply
    690.42x = 1,035.32 × 365.71
  4. Step 4: Simplify right side
    690.42x = 378,627.79
  5. Step 5: Solve for x
    x = 378,627.79/690.42
  6. Step 6: Final answer
    x = 548.40

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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.