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Finding the Fourth Proportional to 630, 943.76 and 492.32

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Solution

The fourth proportional to 630, 943.76 and 492.32 is: 737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630 : 943.76 = 492.32 : x
  2. Step 2: Convert to fraction form
    630/943.76 = 492.32/x
  3. Step 3: Cross multiply
    630x = 943.76 × 492.32
  4. Step 4: Simplify right side
    630x = 464,631.92
  5. Step 5: Solve for x
    x = 464,631.92/630
  6. Step 6: Final answer
    x = 737.51

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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.