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Finding the Fourth Proportional to 630.04, 869.16 and 367.96

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Solution

The fourth proportional to 630.04, 869.16 and 367.96 is: 507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.04 : 869.16 = 367.96 : x
  2. Step 2: Convert to fraction form
    630.04/869.16 = 367.96/x
  3. Step 3: Cross multiply
    630.04x = 869.16 × 367.96
  4. Step 4: Simplify right side
    630.04x = 319,816.11
  5. Step 5: Solve for x
    x = 319,816.11/630.04
  6. Step 6: Final answer
    x = 507.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.