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Finding the Fourth Proportional to 630.05, 942.83 and 465.12

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Solution

The fourth proportional to 630.05, 942.83 and 465.12 is: 696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.05 : 942.83 = 465.12 : x
  2. Step 2: Convert to fraction form
    630.05/942.83 = 465.12/x
  3. Step 3: Cross multiply
    630.05x = 942.83 × 465.12
  4. Step 4: Simplify right side
    630.05x = 438,526.76
  5. Step 5: Solve for x
    x = 438,526.76/630.05
  6. Step 6: Final answer
    x = 696.02

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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.