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Finding the Fourth Proportional to 630.02, 869.43 and 433.19

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Solution

The fourth proportional to 630.02, 869.43 and 433.19 is: 597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.02 : 869.43 = 433.19 : x
  2. Step 2: Convert to fraction form
    630.02/869.43 = 433.19/x
  3. Step 3: Cross multiply
    630.02x = 869.43 × 433.19
  4. Step 4: Simplify right side
    630.02x = 376,628.38
  5. Step 5: Solve for x
    x = 376,628.38/630.02
  6. Step 6: Final answer
    x = 597.80

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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.