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Finding the Fourth Proportional to 630.12, 869.29 and 368.02

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Solution

The fourth proportional to 630.12, 869.29 and 368.02 is: 507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.12 : 869.29 = 368.02 : x
  2. Step 2: Convert to fraction form
    630.12/869.29 = 368.02/x
  3. Step 3: Cross multiply
    630.12x = 869.29 × 368.02
  4. Step 4: Simplify right side
    630.12x = 319,914.27
  5. Step 5: Solve for x
    x = 319,914.27/630.12
  6. Step 6: Final answer
    x = 507.70

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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.