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Finding the Fourth Proportional to 630.93, 869.83 and 421.14

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Solution

The fourth proportional to 630.93, 869.83 and 421.14 is: 580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.93 : 869.83 = 421.14 : x
  2. Step 2: Convert to fraction form
    630.93/869.83 = 421.14/x
  3. Step 3: Cross multiply
    630.93x = 869.83 × 421.14
  4. Step 4: Simplify right side
    630.93x = 366,319.15
  5. Step 5: Solve for x
    x = 366,319.15/630.93
  6. Step 6: Final answer
    x = 580.60

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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.