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Finding the Fourth Proportional to 630.34, 940.85 and 538.36

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Solution

The fourth proportional to 630.34, 940.85 and 538.36 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.34 : 940.85 = 538.36 : x
  2. Step 2: Convert to fraction form
    630.34/940.85 = 538.36/x
  3. Step 3: Cross multiply
    630.34x = 940.85 × 538.36
  4. Step 4: Simplify right side
    630.34x = 506,516.01
  5. Step 5: Solve for x
    x = 506,516.01/630.34
  6. Step 6: Final answer
    x = 803.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.