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Finding the Fourth Proportional to 630.12, 869.64 and 364.62

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Solution

The fourth proportional to 630.12, 869.64 and 364.62 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.12 : 869.64 = 364.62 : x
  2. Step 2: Convert to fraction form
    630.12/869.64 = 364.62/x
  3. Step 3: Cross multiply
    630.12x = 869.64 × 364.62
  4. Step 4: Simplify right side
    630.12x = 317,088.14
  5. Step 5: Solve for x
    x = 317,088.14/630.12
  6. Step 6: Final answer
    x = 503.22

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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.