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Finding the Fourth Proportional to 630.45, 942.93 and 506.52

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Solution

The fourth proportional to 630.45, 942.93 and 506.52 is: 757.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.45 : 942.93 = 506.52 : x
  2. Step 2: Convert to fraction form
    630.45/942.93 = 506.52/x
  3. Step 3: Cross multiply
    630.45x = 942.93 × 506.52
  4. Step 4: Simplify right side
    630.45x = 477,612.90
  5. Step 5: Solve for x
    x = 477,612.90/630.45
  6. Step 6: Final answer
    x = 757.57

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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.